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Simplifying 2(x + -1) + 3 = 5(2x + -3) Reorder the terms: 2(-1 + x) + 3 = 5(2x + -3) (-1 * 2 + x * 2) + 3 = 5(2x + -3) (-2 + 2x) + 3 = 5(2x + -3) Reorder the terms: -2 + 3 + 2x = 5(2x + -3) Combine like terms: -2 + 3 = 1 1 + 2x = 5(2x + -3) Reorder the terms: 1 + 2x = 5(-3 + 2x) 1 + 2x = (-3 * 5 + 2x * 5) 1 + 2x = (-15 + 10x) Solving 1 + 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. 1 + 2x + -10x = -15 + 10x + -10x Combine like terms: 2x + -10x = -8x 1 + -8x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 1 + -8x = -15 + 0 1 + -8x = -15 Add '-1' to each side of the equation. 1 + -1 + -8x = -15 + -1 Combine like terms: 1 + -1 = 0 0 + -8x = -15 + -1 -8x = -15 + -1 Combine like terms: -15 + -1 = -16 -8x = -16 Divide each side by '-8'. x = 2 Simplifying x = 2
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