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Simplifying 5(x + -1) + -2(x + 2) = x + -6 Reorder the terms: 5(-1 + x) + -2(x + 2) = x + -6 (-1 * 5 + x * 5) + -2(x + 2) = x + -6 (-5 + 5x) + -2(x + 2) = x + -6 Reorder the terms: -5 + 5x + -2(2 + x) = x + -6 -5 + 5x + (2 * -2 + x * -2) = x + -6 -5 + 5x + (-4 + -2x) = x + -6 Reorder the terms: -5 + -4 + 5x + -2x = x + -6 Combine like terms: -5 + -4 = -9 -9 + 5x + -2x = x + -6 Combine like terms: 5x + -2x = 3x -9 + 3x = x + -6 Reorder the terms: -9 + 3x = -6 + x Solving -9 + 3x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 3x + -1x = -6 + x + -1x Combine like terms: 3x + -1x = 2x -9 + 2x = -6 + x + -1x Combine like terms: x + -1x = 0 -9 + 2x = -6 + 0 -9 + 2x = -6 Add '9' to each side of the equation. -9 + 9 + 2x = -6 + 9 Combine like terms: -9 + 9 = 0 0 + 2x = -6 + 9 2x = -6 + 9 Combine like terms: -6 + 9 = 3 2x = 3 Divide each side by '2'. x = 1.5 Simplifying x = 1.5
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