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Simplifying 3x + -2(x + 1) = 5(2x + -3) + -5 Reorder the terms: 3x + -2(1 + x) = 5(2x + -3) + -5 3x + (1 * -2 + x * -2) = 5(2x + -3) + -5 3x + (-2 + -2x) = 5(2x + -3) + -5 Reorder the terms: -2 + 3x + -2x = 5(2x + -3) + -5 Combine like terms: 3x + -2x = 1x -2 + 1x = 5(2x + -3) + -5 Reorder the terms: -2 + 1x = 5(-3 + 2x) + -5 -2 + 1x = (-3 * 5 + 2x * 5) + -5 -2 + 1x = (-15 + 10x) + -5 Reorder the terms: -2 + 1x = -15 + -5 + 10x Combine like terms: -15 + -5 = -20 -2 + 1x = -20 + 10x Solving -2 + 1x = -20 + 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 + 1x + -10x = -20 + 10x + -10x Combine like terms: 1x + -10x = -9x -2 + -9x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + -9x = -20 + 0 -2 + -9x = -20 Add '2' to each side of the equation. -2 + 2 + -9x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -20 + 2 -9x = -20 + 2 Combine like terms: -20 + 2 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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