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Simplifying 3x + 5 + -2(x + -1) = 5(x + -3) Reorder the terms: 3x + 5 + -2(-1 + x) = 5(x + -3) 3x + 5 + (-1 * -2 + x * -2) = 5(x + -3) 3x + 5 + (2 + -2x) = 5(x + -3) Reorder the terms: 5 + 2 + 3x + -2x = 5(x + -3) Combine like terms: 5 + 2 = 7 7 + 3x + -2x = 5(x + -3) Combine like terms: 3x + -2x = 1x 7 + 1x = 5(x + -3) Reorder the terms: 7 + 1x = 5(-3 + x) 7 + 1x = (-3 * 5 + x * 5) 7 + 1x = (-15 + 5x) Solving 7 + 1x = -15 + 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. 7 + 1x + -5x = -15 + 5x + -5x Combine like terms: 1x + -5x = -4x 7 + -4x = -15 + 5x + -5x Combine like terms: 5x + -5x = 0 7 + -4x = -15 + 0 7 + -4x = -15 Add '-7' to each side of the equation. 7 + -7 + -4x = -15 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = -15 + -7 -4x = -15 + -7 Combine like terms: -15 + -7 = -22 -4x = -22 Divide each side by '-4'. x = 5.5 Simplifying x = 5.5
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