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Simplifying 5 + 2(x + -1) + -3(1 + -1x) = 4 + 5(2x + -3) Reorder the terms: 5 + 2(-1 + x) + -3(1 + -1x) = 4 + 5(2x + -3) 5 + (-1 * 2 + x * 2) + -3(1 + -1x) = 4 + 5(2x + -3) 5 + (-2 + 2x) + -3(1 + -1x) = 4 + 5(2x + -3) 5 + -2 + 2x + (1 * -3 + -1x * -3) = 4 + 5(2x + -3) 5 + -2 + 2x + (-3 + 3x) = 4 + 5(2x + -3) Reorder the terms: 5 + -2 + -3 + 2x + 3x = 4 + 5(2x + -3) Combine like terms: 5 + -2 = 3 3 + -3 + 2x + 3x = 4 + 5(2x + -3) Combine like terms: 3 + -3 = 0 0 + 2x + 3x = 4 + 5(2x + -3) 2x + 3x = 4 + 5(2x + -3) Combine like terms: 2x + 3x = 5x 5x = 4 + 5(2x + -3) Reorder the terms: 5x = 4 + 5(-3 + 2x) 5x = 4 + (-3 * 5 + 2x * 5) 5x = 4 + (-15 + 10x) Combine like terms: 4 + -15 = -11 5x = -11 + 10x Solving 5x = -11 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 5x + -10x = -11 + 10x + -10x Combine like terms: 5x + -10x = -5x -5x = -11 + 10x + -10x Combine like terms: 10x + -10x = 0 -5x = -11 + 0 -5x = -11 Divide each side by '-5'. x = 2.2 Simplifying x = 2.2
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