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Simplifying 5(x + -1) + -2(2x + 3) = 5x + -3 Reorder the terms: 5(-1 + x) + -2(2x + 3) = 5x + -3 (-1 * 5 + x * 5) + -2(2x + 3) = 5x + -3 (-5 + 5x) + -2(2x + 3) = 5x + -3 Reorder the terms: -5 + 5x + -2(3 + 2x) = 5x + -3 -5 + 5x + (3 * -2 + 2x * -2) = 5x + -3 -5 + 5x + (-6 + -4x) = 5x + -3 Reorder the terms: -5 + -6 + 5x + -4x = 5x + -3 Combine like terms: -5 + -6 = -11 -11 + 5x + -4x = 5x + -3 Combine like terms: 5x + -4x = 1x -11 + 1x = 5x + -3 Reorder the terms: -11 + 1x = -3 + 5x Solving -11 + 1x = -3 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -11 + 1x + -5x = -3 + 5x + -5x Combine like terms: 1x + -5x = -4x -11 + -4x = -3 + 5x + -5x Combine like terms: 5x + -5x = 0 -11 + -4x = -3 + 0 -11 + -4x = -3 Add '11' to each side of the equation. -11 + 11 + -4x = -3 + 11 Combine like terms: -11 + 11 = 0 0 + -4x = -3 + 11 -4x = -3 + 11 Combine like terms: -3 + 11 = 8 -4x = 8 Divide each side by '-4'. x = -2 Simplifying x = -2
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