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Simplifying -2(3x + -1) + -7 = 5(x + 4) + 8 Reorder the terms: -2(-1 + 3x) + -7 = 5(x + 4) + 8 (-1 * -2 + 3x * -2) + -7 = 5(x + 4) + 8 (2 + -6x) + -7 = 5(x + 4) + 8 Reorder the terms: 2 + -7 + -6x = 5(x + 4) + 8 Combine like terms: 2 + -7 = -5 -5 + -6x = 5(x + 4) + 8 Reorder the terms: -5 + -6x = 5(4 + x) + 8 -5 + -6x = (4 * 5 + x * 5) + 8 -5 + -6x = (20 + 5x) + 8 Reorder the terms: -5 + -6x = 20 + 8 + 5x Combine like terms: 20 + 8 = 28 -5 + -6x = 28 + 5x Solving -5 + -6x = 28 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -5 + -6x + -5x = 28 + 5x + -5x Combine like terms: -6x + -5x = -11x -5 + -11x = 28 + 5x + -5x Combine like terms: 5x + -5x = 0 -5 + -11x = 28 + 0 -5 + -11x = 28 Add '5' to each side of the equation. -5 + 5 + -11x = 28 + 5 Combine like terms: -5 + 5 = 0 0 + -11x = 28 + 5 -11x = 28 + 5 Combine like terms: 28 + 5 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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