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Simplifying 3(x + -5) + -2(1 + -1x) = 3(4 + -1x) Reorder the terms: 3(-5 + x) + -2(1 + -1x) = 3(4 + -1x) (-5 * 3 + x * 3) + -2(1 + -1x) = 3(4 + -1x) (-15 + 3x) + -2(1 + -1x) = 3(4 + -1x) -15 + 3x + (1 * -2 + -1x * -2) = 3(4 + -1x) -15 + 3x + (-2 + 2x) = 3(4 + -1x) Reorder the terms: -15 + -2 + 3x + 2x = 3(4 + -1x) Combine like terms: -15 + -2 = -17 -17 + 3x + 2x = 3(4 + -1x) Combine like terms: 3x + 2x = 5x -17 + 5x = 3(4 + -1x) -17 + 5x = (4 * 3 + -1x * 3) -17 + 5x = (12 + -3x) Solving -17 + 5x = 12 + -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. -17 + 5x + 3x = 12 + -3x + 3x Combine like terms: 5x + 3x = 8x -17 + 8x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -17 + 8x = 12 + 0 -17 + 8x = 12 Add '17' to each side of the equation. -17 + 17 + 8x = 12 + 17 Combine like terms: -17 + 17 = 0 0 + 8x = 12 + 17 8x = 12 + 17 Combine like terms: 12 + 17 = 29 8x = 29 Divide each side by '8'. x = 3.625 Simplifying x = 3.625
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