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Simplifying -4(x + 2) + 8 = 2(x + -1) + -7x + 15 Reorder the terms: -4(2 + x) + 8 = 2(x + -1) + -7x + 15 (2 * -4 + x * -4) + 8 = 2(x + -1) + -7x + 15 (-8 + -4x) + 8 = 2(x + -1) + -7x + 15 Reorder the terms: -8 + 8 + -4x = 2(x + -1) + -7x + 15 Combine like terms: -8 + 8 = 0 0 + -4x = 2(x + -1) + -7x + 15 -4x = 2(x + -1) + -7x + 15 Reorder the terms: -4x = 2(-1 + x) + -7x + 15 -4x = (-1 * 2 + x * 2) + -7x + 15 -4x = (-2 + 2x) + -7x + 15 Reorder the terms: -4x = -2 + 15 + 2x + -7x Combine like terms: -2 + 15 = 13 -4x = 13 + 2x + -7x Combine like terms: 2x + -7x = -5x -4x = 13 + -5x Solving -4x = 13 + -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. -4x + 5x = 13 + -5x + 5x Combine like terms: -4x + 5x = 1x 1x = 13 + -5x + 5x Combine like terms: -5x + 5x = 0 1x = 13 + 0 1x = 13 Divide each side by '1'. x = 13 Simplifying x = 13
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