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Simplifying -1(7x + -3) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3 Reorder the terms: -1(-3 + 7x) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3 (-3 * -1 + 7x * -1) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3 (3 + -7x) + -1(2x + -5) + 4 = -12(x + -1) + -1(2x + 13) + 3 Reorder the terms: 3 + -7x + -1(-5 + 2x) + 4 = -12(x + -1) + -1(2x + 13) + 3 3 + -7x + (-5 * -1 + 2x * -1) + 4 = -12(x + -1) + -1(2x + 13) + 3 3 + -7x + (5 + -2x) + 4 = -12(x + -1) + -1(2x + 13) + 3 Reorder the terms: 3 + 5 + 4 + -7x + -2x = -12(x + -1) + -1(2x + 13) + 3 Combine like terms: 3 + 5 = 8 8 + 4 + -7x + -2x = -12(x + -1) + -1(2x + 13) + 3 Combine like terms: 8 + 4 = 12 12 + -7x + -2x = -12(x + -1) + -1(2x + 13) + 3 Combine like terms: -7x + -2x = -9x 12 + -9x = -12(x + -1) + -1(2x + 13) + 3 Reorder the terms: 12 + -9x = -12(-1 + x) + -1(2x + 13) + 3 12 + -9x = (-1 * -12 + x * -12) + -1(2x + 13) + 3 12 + -9x = (12 + -12x) + -1(2x + 13) + 3 Reorder the terms: 12 + -9x = 12 + -12x + -1(13 + 2x) + 3 12 + -9x = 12 + -12x + (13 * -1 + 2x * -1) + 3 12 + -9x = 12 + -12x + (-13 + -2x) + 3 Reorder the terms: 12 + -9x = 12 + -13 + 3 + -12x + -2x Combine like terms: 12 + -13 = -1 12 + -9x = -1 + 3 + -12x + -2x Combine like terms: -1 + 3 = 2 12 + -9x = 2 + -12x + -2x Combine like terms: -12x + -2x = -14x 12 + -9x = 2 + -14x Solving 12 + -9x = 2 + -14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '14x' to each side of the equation. 12 + -9x + 14x = 2 + -14x + 14x Combine like terms: -9x + 14x = 5x 12 + 5x = 2 + -14x + 14x Combine like terms: -14x + 14x = 0 12 + 5x = 2 + 0 12 + 5x = 2 Add '-12' to each side of the equation. 12 + -12 + 5x = 2 + -12 Combine like terms: 12 + -12 = 0 0 + 5x = 2 + -12 5x = 2 + -12 Combine like terms: 2 + -12 = -10 5x = -10 Divide each side by '5'. x = -2 Simplifying x = -2
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