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Simplifying 5(2x + -3) + -3(x + -1) = 2(-1x + 1) Reorder the terms: 5(-3 + 2x) + -3(x + -1) = 2(-1x + 1) (-3 * 5 + 2x * 5) + -3(x + -1) = 2(-1x + 1) (-15 + 10x) + -3(x + -1) = 2(-1x + 1) Reorder the terms: -15 + 10x + -3(-1 + x) = 2(-1x + 1) -15 + 10x + (-1 * -3 + x * -3) = 2(-1x + 1) -15 + 10x + (3 + -3x) = 2(-1x + 1) Reorder the terms: -15 + 3 + 10x + -3x = 2(-1x + 1) Combine like terms: -15 + 3 = -12 -12 + 10x + -3x = 2(-1x + 1) Combine like terms: 10x + -3x = 7x -12 + 7x = 2(-1x + 1) Reorder the terms: -12 + 7x = 2(1 + -1x) -12 + 7x = (1 * 2 + -1x * 2) -12 + 7x = (2 + -2x) Solving -12 + 7x = 2 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -12 + 7x + 2x = 2 + -2x + 2x Combine like terms: 7x + 2x = 9x -12 + 9x = 2 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 9x = 2 + 0 -12 + 9x = 2 Add '12' to each side of the equation. -12 + 12 + 9x = 2 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 2 + 12 9x = 2 + 12 Combine like terms: 2 + 12 = 14 9x = 14 Divide each side by '9'. x = 1.555555556 Simplifying x = 1.555555556
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