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Simplifying 2x + -3(x + -1) + -1(2x + 1) = 5(x + -4) + 2x Reorder the terms: 2x + -3(-1 + x) + -1(2x + 1) = 5(x + -4) + 2x 2x + (-1 * -3 + x * -3) + -1(2x + 1) = 5(x + -4) + 2x 2x + (3 + -3x) + -1(2x + 1) = 5(x + -4) + 2x Reorder the terms: 2x + 3 + -3x + -1(1 + 2x) = 5(x + -4) + 2x 2x + 3 + -3x + (1 * -1 + 2x * -1) = 5(x + -4) + 2x 2x + 3 + -3x + (-1 + -2x) = 5(x + -4) + 2x Reorder the terms: 3 + -1 + 2x + -3x + -2x = 5(x + -4) + 2x Combine like terms: 3 + -1 = 2 2 + 2x + -3x + -2x = 5(x + -4) + 2x Combine like terms: 2x + -3x = -1x 2 + -1x + -2x = 5(x + -4) + 2x Combine like terms: -1x + -2x = -3x 2 + -3x = 5(x + -4) + 2x Reorder the terms: 2 + -3x = 5(-4 + x) + 2x 2 + -3x = (-4 * 5 + x * 5) + 2x 2 + -3x = (-20 + 5x) + 2x Combine like terms: 5x + 2x = 7x 2 + -3x = -20 + 7x Solving 2 + -3x = -20 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 2 + -3x + -7x = -20 + 7x + -7x Combine like terms: -3x + -7x = -10x 2 + -10x = -20 + 7x + -7x Combine like terms: 7x + -7x = 0 2 + -10x = -20 + 0 2 + -10x = -20 Add '-2' to each side of the equation. 2 + -2 + -10x = -20 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -20 + -2 -10x = -20 + -2 Combine like terms: -20 + -2 = -22 -10x = -22 Divide each side by '-10'. x = 2.2 Simplifying x = 2.2
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