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Simplifying 2(x + -1) = 5(1 + 2x) + 3 Reorder the terms: 2(-1 + x) = 5(1 + 2x) + 3 (-1 * 2 + x * 2) = 5(1 + 2x) + 3 (-2 + 2x) = 5(1 + 2x) + 3 -2 + 2x = (1 * 5 + 2x * 5) + 3 -2 + 2x = (5 + 10x) + 3 Reorder the terms: -2 + 2x = 5 + 3 + 10x Combine like terms: 5 + 3 = 8 -2 + 2x = 8 + 10x Solving -2 + 2x = 8 + 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 = 8 + 10x + -10x Combine like terms: 2x + -10x = -8x -2 + -8x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -8x = 8 + 0 -2 + -8x = 8 Add '2' to each side of the equation. -2 + 2 + -8x = 8 + 2 Combine like terms: -2 + 2 = 0 0 + -8x = 8 + 2 -8x = 8 + 2 Combine like terms: 8 + 2 = 10 -8x = 10 Divide each side by '-8'. x = -1.25 Simplifying x = -1.25
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