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Simplifying 5(x + -2) + -2(x + 1) = (2 + x) + 3(1 + -1x) Reorder the terms: 5(-2 + x) + -2(x + 1) = (2 + x) + 3(1 + -1x) (-2 * 5 + x * 5) + -2(x + 1) = (2 + x) + 3(1 + -1x) (-10 + 5x) + -2(x + 1) = (2 + x) + 3(1 + -1x) Reorder the terms: -10 + 5x + -2(1 + x) = (2 + x) + 3(1 + -1x) -10 + 5x + (1 * -2 + x * -2) = (2 + x) + 3(1 + -1x) -10 + 5x + (-2 + -2x) = (2 + x) + 3(1 + -1x) Reorder the terms: -10 + -2 + 5x + -2x = (2 + x) + 3(1 + -1x) Combine like terms: -10 + -2 = -12 -12 + 5x + -2x = (2 + x) + 3(1 + -1x) Combine like terms: 5x + -2x = 3x -12 + 3x = (2 + x) + 3(1 + -1x) Remove parenthesis around (2 + x) -12 + 3x = 2 + x + 3(1 + -1x) -12 + 3x = 2 + x + (1 * 3 + -1x * 3) -12 + 3x = 2 + x + (3 + -3x) Reorder the terms: -12 + 3x = 2 + 3 + x + -3x Combine like terms: 2 + 3 = 5 -12 + 3x = 5 + x + -3x Combine like terms: x + -3x = -2x -12 + 3x = 5 + -2x Solving -12 + 3x = 5 + -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. -12 + 3x + 2x = 5 + -2x + 2x Combine like terms: 3x + 2x = 5x -12 + 5x = 5 + -2x + 2x Combine like terms: -2x + 2x = 0 -12 + 5x = 5 + 0 -12 + 5x = 5 Add '12' to each side of the equation. -12 + 12 + 5x = 5 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 5 + 12 5x = 5 + 12 Combine like terms: 5 + 12 = 17 5x = 17 Divide each side by '5'. x = 3.4 Simplifying x = 3.4
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