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Simplifying 2(x + -1) = 5(2x + -3) Reorder the terms: 2(-1 + x) = 5(2x + -3) (-1 * 2 + x * 2) = 5(2x + -3) (-2 + 2x) = 5(2x + -3) Reorder the terms: -2 + 2x = 5(-3 + 2x) -2 + 2x = (-3 * 5 + 2x * 5) -2 + 2x = (-15 + 10x) Solving -2 + 2x = -15 + 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. -2 + 2x + -10x = -15 + 10x + -10x Combine like terms: 2x + -10x = -8x -2 + -8x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -8x = -15 + 0 -2 + -8x = -15 Add '2' to each side of the equation. -2 + 2 + -8x = -15 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = -15 + 2 -8x = -15 + 2 Combine like terms: -15 + 2 = -13 -8x = -13 Divide each side by '-8'. x = 1.625 Simplifying x = 1.625
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