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Simplifying 2(x + -1) + 3(x + -2) = 5 + -3(x + 1) Reorder the terms: 2(-1 + x) + 3(x + -2) = 5 + -3(x + 1) (-1 * 2 + x * 2) + 3(x + -2) = 5 + -3(x + 1) (-2 + 2x) + 3(x + -2) = 5 + -3(x + 1) Reorder the terms: -2 + 2x + 3(-2 + x) = 5 + -3(x + 1) -2 + 2x + (-2 * 3 + x * 3) = 5 + -3(x + 1) -2 + 2x + (-6 + 3x) = 5 + -3(x + 1) Reorder the terms: -2 + -6 + 2x + 3x = 5 + -3(x + 1) Combine like terms: -2 + -6 = -8 -8 + 2x + 3x = 5 + -3(x + 1) Combine like terms: 2x + 3x = 5x -8 + 5x = 5 + -3(x + 1) Reorder the terms: -8 + 5x = 5 + -3(1 + x) -8 + 5x = 5 + (1 * -3 + x * -3) -8 + 5x = 5 + (-3 + -3x) Combine like terms: 5 + -3 = 2 -8 + 5x = 2 + -3x Solving -8 + 5x = 2 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -8 + 5x + 3x = 2 + -3x + 3x Combine like terms: 5x + 3x = 8x -8 + 8x = 2 + -3x + 3x Combine like terms: -3x + 3x = 0 -8 + 8x = 2 + 0 -8 + 8x = 2 Add '8' to each side of the equation. -8 + 8 + 8x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 8x = 2 + 8 8x = 2 + 8 Combine like terms: 2 + 8 = 10 8x = 10 Divide each side by '8'. x = 1.25 Simplifying x = 1.25
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