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Simplifying -3(x + -4) + 6 = 5(x + -1) + 1 Reorder the terms: -3(-4 + x) + 6 = 5(x + -1) + 1 (-4 * -3 + x * -3) + 6 = 5(x + -1) + 1 (12 + -3x) + 6 = 5(x + -1) + 1 Reorder the terms: 12 + 6 + -3x = 5(x + -1) + 1 Combine like terms: 12 + 6 = 18 18 + -3x = 5(x + -1) + 1 Reorder the terms: 18 + -3x = 5(-1 + x) + 1 18 + -3x = (-1 * 5 + x * 5) + 1 18 + -3x = (-5 + 5x) + 1 Reorder the terms: 18 + -3x = -5 + 1 + 5x Combine like terms: -5 + 1 = -4 18 + -3x = -4 + 5x Solving 18 + -3x = -4 + 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. 18 + -3x + -5x = -4 + 5x + -5x Combine like terms: -3x + -5x = -8x 18 + -8x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 18 + -8x = -4 + 0 18 + -8x = -4 Add '-18' to each side of the equation. 18 + -18 + -8x = -4 + -18 Combine like terms: 18 + -18 = 0 0 + -8x = -4 + -18 -8x = -4 + -18 Combine like terms: -4 + -18 = -22 -8x = -22 Divide each side by '-8'. x = 2.75 Simplifying x = 2.75
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