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Simplifying -5(x + 1) + (2x + -3) = 2(x + 2) + -8 Reorder the terms: -5(1 + x) + (2x + -3) = 2(x + 2) + -8 (1 * -5 + x * -5) + (2x + -3) = 2(x + 2) + -8 (-5 + -5x) + (2x + -3) = 2(x + 2) + -8 Reorder the terms: -5 + -5x + (-3 + 2x) = 2(x + 2) + -8 Remove parenthesis around (-3 + 2x) -5 + -5x + -3 + 2x = 2(x + 2) + -8 Reorder the terms: -5 + -3 + -5x + 2x = 2(x + 2) + -8 Combine like terms: -5 + -3 = -8 -8 + -5x + 2x = 2(x + 2) + -8 Combine like terms: -5x + 2x = -3x -8 + -3x = 2(x + 2) + -8 Reorder the terms: -8 + -3x = 2(2 + x) + -8 -8 + -3x = (2 * 2 + x * 2) + -8 -8 + -3x = (4 + 2x) + -8 Reorder the terms: -8 + -3x = 4 + -8 + 2x Combine like terms: 4 + -8 = -4 -8 + -3x = -4 + 2x Solving -8 + -3x = -4 + 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. -8 + -3x + -2x = -4 + 2x + -2x Combine like terms: -3x + -2x = -5x -8 + -5x = -4 + 2x + -2x Combine like terms: 2x + -2x = 0 -8 + -5x = -4 + 0 -8 + -5x = -4 Add '8' to each side of the equation. -8 + 8 + -5x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -5x = -4 + 8 -5x = -4 + 8 Combine like terms: -4 + 8 = 4 -5x = 4 Divide each side by '-5'. x = -0.8 Simplifying x = -0.8
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