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