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Simplifying -3(x + -1) + 8(x + 4) = 6x + 7 + -5x Reorder the terms: -3(-1 + x) + 8(x + 4) = 6x + 7 + -5x (-1 * -3 + x * -3) + 8(x + 4) = 6x + 7 + -5x (3 + -3x) + 8(x + 4) = 6x + 7 + -5x Reorder the terms: 3 + -3x + 8(4 + x) = 6x + 7 + -5x 3 + -3x + (4 * 8 + x * 8) = 6x + 7 + -5x 3 + -3x + (32 + 8x) = 6x + 7 + -5x Reorder the terms: 3 + 32 + -3x + 8x = 6x + 7 + -5x Combine like terms: 3 + 32 = 35 35 + -3x + 8x = 6x + 7 + -5x Combine like terms: -3x + 8x = 5x 35 + 5x = 6x + 7 + -5x Reorder the terms: 35 + 5x = 7 + 6x + -5x Combine like terms: 6x + -5x = 1x 35 + 5x = 7 + 1x Solving 35 + 5x = 7 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 35 + 5x + -1x = 7 + 1x + -1x Combine like terms: 5x + -1x = 4x 35 + 4x = 7 + 1x + -1x Combine like terms: 1x + -1x = 0 35 + 4x = 7 + 0 35 + 4x = 7 Add '-35' to each side of the equation. 35 + -35 + 4x = 7 + -35 Combine like terms: 35 + -35 = 0 0 + 4x = 7 + -35 4x = 7 + -35 Combine like terms: 7 + -35 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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