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Simplifying -4(2x + -3) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4z + 9) + -1 Reorder the terms: -4(-3 + 2x) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4z + 9) + -1 (-3 * -4 + 2x * -4) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4z + 9) + -1 (12 + -8x) + -1(10x + 7) + -2 = -1(12x + -5) + -1(4z + 9) + -1 Reorder the terms: 12 + -8x + -1(7 + 10x) + -2 = -1(12x + -5) + -1(4z + 9) + -1 12 + -8x + (7 * -1 + 10x * -1) + -2 = -1(12x + -5) + -1(4z + 9) + -1 12 + -8x + (-7 + -10x) + -2 = -1(12x + -5) + -1(4z + 9) + -1 Reorder the terms: 12 + -7 + -2 + -8x + -10x = -1(12x + -5) + -1(4z + 9) + -1 Combine like terms: 12 + -7 = 5 5 + -2 + -8x + -10x = -1(12x + -5) + -1(4z + 9) + -1 Combine like terms: 5 + -2 = 3 3 + -8x + -10x = -1(12x + -5) + -1(4z + 9) + -1 Combine like terms: -8x + -10x = -18x 3 + -18x = -1(12x + -5) + -1(4z + 9) + -1 Reorder the terms: 3 + -18x = -1(-5 + 12x) + -1(4z + 9) + -1 3 + -18x = (-5 * -1 + 12x * -1) + -1(4z + 9) + -1 3 + -18x = (5 + -12x) + -1(4z + 9) + -1 Reorder the terms: 3 + -18x = 5 + -12x + -1(9 + 4z) + -1 3 + -18x = 5 + -12x + (9 * -1 + 4z * -1) + -1 3 + -18x = 5 + -12x + (-9 + -4z) + -1 Reorder the terms: 3 + -18x = 5 + -9 + -1 + -12x + -4z Combine like terms: 5 + -9 = -4 3 + -18x = -4 + -1 + -12x + -4z Combine like terms: -4 + -1 = -5 3 + -18x = -5 + -12x + -4z Solving 3 + -18x = -5 + -12x + -4z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 3 + -18x + 12x = -5 + -12x + 12x + -4z Combine like terms: -18x + 12x = -6x 3 + -6x = -5 + -12x + 12x + -4z Combine like terms: -12x + 12x = 0 3 + -6x = -5 + 0 + -4z 3 + -6x = -5 + -4z Add '-3' to each side of the equation. 3 + -3 + -6x = -5 + -3 + -4z Combine like terms: 3 + -3 = 0 0 + -6x = -5 + -3 + -4z -6x = -5 + -3 + -4z Combine like terms: -5 + -3 = -8 -6x = -8 + -4z Divide each side by '-6'. x = 1.333333333 + 0.6666666667z Simplifying x = 1.333333333 + 0.6666666667z
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