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Simplifying -3(5 + -1x) + -1(x + -2) = 7x + -2 (5 * -3 + -1x * -3) + -1(x + -2) = 7x + -2 (-15 + 3x) + -1(x + -2) = 7x + -2 Reorder the terms: -15 + 3x + -1(-2 + x) = 7x + -2 -15 + 3x + (-2 * -1 + x * -1) = 7x + -2 -15 + 3x + (2 + -1x) = 7x + -2 Reorder the terms: -15 + 2 + 3x + -1x = 7x + -2 Combine like terms: -15 + 2 = -13 -13 + 3x + -1x = 7x + -2 Combine like terms: 3x + -1x = 2x -13 + 2x = 7x + -2 Reorder the terms: -13 + 2x = -2 + 7x Solving -13 + 2x = -2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -13 + 2x + -7x = -2 + 7x + -7x Combine like terms: 2x + -7x = -5x -13 + -5x = -2 + 7x + -7x Combine like terms: 7x + -7x = 0 -13 + -5x = -2 + 0 -13 + -5x = -2 Add '13' to each side of the equation. -13 + 13 + -5x = -2 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = -2 + 13 -5x = -2 + 13 Combine like terms: -2 + 13 = 11 -5x = 11 Divide each side by '-5'. x = -2.2 Simplifying x = -2.2
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