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Simplifying -1(8x + -4) + -1(2x + -8) + 9 = -6(x + -4) + -1(6x + 4) + 7 Reorder the terms: -1(-4 + 8x) + -1(2x + -8) + 9 = -6(x + -4) + -1(6x + 4) + 7 (-4 * -1 + 8x * -1) + -1(2x + -8) + 9 = -6(x + -4) + -1(6x + 4) + 7 (4 + -8x) + -1(2x + -8) + 9 = -6(x + -4) + -1(6x + 4) + 7 Reorder the terms: 4 + -8x + -1(-8 + 2x) + 9 = -6(x + -4) + -1(6x + 4) + 7 4 + -8x + (-8 * -1 + 2x * -1) + 9 = -6(x + -4) + -1(6x + 4) + 7 4 + -8x + (8 + -2x) + 9 = -6(x + -4) + -1(6x + 4) + 7 Reorder the terms: 4 + 8 + 9 + -8x + -2x = -6(x + -4) + -1(6x + 4) + 7 Combine like terms: 4 + 8 = 12 12 + 9 + -8x + -2x = -6(x + -4) + -1(6x + 4) + 7 Combine like terms: 12 + 9 = 21 21 + -8x + -2x = -6(x + -4) + -1(6x + 4) + 7 Combine like terms: -8x + -2x = -10x 21 + -10x = -6(x + -4) + -1(6x + 4) + 7 Reorder the terms: 21 + -10x = -6(-4 + x) + -1(6x + 4) + 7 21 + -10x = (-4 * -6 + x * -6) + -1(6x + 4) + 7 21 + -10x = (24 + -6x) + -1(6x + 4) + 7 Reorder the terms: 21 + -10x = 24 + -6x + -1(4 + 6x) + 7 21 + -10x = 24 + -6x + (4 * -1 + 6x * -1) + 7 21 + -10x = 24 + -6x + (-4 + -6x) + 7 Reorder the terms: 21 + -10x = 24 + -4 + 7 + -6x + -6x Combine like terms: 24 + -4 = 20 21 + -10x = 20 + 7 + -6x + -6x Combine like terms: 20 + 7 = 27 21 + -10x = 27 + -6x + -6x Combine like terms: -6x + -6x = -12x 21 + -10x = 27 + -12x Solving 21 + -10x = 27 + -12x 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. 21 + -10x + 12x = 27 + -12x + 12x Combine like terms: -10x + 12x = 2x 21 + 2x = 27 + -12x + 12x Combine like terms: -12x + 12x = 0 21 + 2x = 27 + 0 21 + 2x = 27 Add '-21' to each side of the equation. 21 + -21 + 2x = 27 + -21 Combine like terms: 21 + -21 = 0 0 + 2x = 27 + -21 2x = 27 + -21 Combine like terms: 27 + -21 = 6 2x = 6 Divide each side by '2'. x = 3 Simplifying x = 3
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