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Simplifying -7(x + -4) = 8(x + 6) + -5x Reorder the terms: -7(-4 + x) = 8(x + 6) + -5x (-4 * -7 + x * -7) = 8(x + 6) + -5x (28 + -7x) = 8(x + 6) + -5x Reorder the terms: 28 + -7x = 8(6 + x) + -5x 28 + -7x = (6 * 8 + x * 8) + -5x 28 + -7x = (48 + 8x) + -5x Combine like terms: 8x + -5x = 3x 28 + -7x = 48 + 3x Solving 28 + -7x = 48 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 28 + -7x + -3x = 48 + 3x + -3x Combine like terms: -7x + -3x = -10x 28 + -10x = 48 + 3x + -3x Combine like terms: 3x + -3x = 0 28 + -10x = 48 + 0 28 + -10x = 48 Add '-28' to each side of the equation. 28 + -28 + -10x = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -10x = 48 + -28 -10x = 48 + -28 Combine like terms: 48 + -28 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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