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Simplifying 1 + -1(3x + -9) = 5x + -4x + -2 Reorder the terms: 1 + -1(-9 + 3x) = 5x + -4x + -2 1 + (-9 * -1 + 3x * -1) = 5x + -4x + -2 1 + (9 + -3x) = 5x + -4x + -2 Combine like terms: 1 + 9 = 10 10 + -3x = 5x + -4x + -2 Reorder the terms: 10 + -3x = -2 + 5x + -4x Combine like terms: 5x + -4x = 1x 10 + -3x = -2 + 1x Solving 10 + -3x = -2 + 1x 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. 10 + -3x + -1x = -2 + 1x + -1x Combine like terms: -3x + -1x = -4x 10 + -4x = -2 + 1x + -1x Combine like terms: 1x + -1x = 0 10 + -4x = -2 + 0 10 + -4x = -2 Add '-10' to each side of the equation. 10 + -10 + -4x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -4x = -2 + -10 -4x = -2 + -10 Combine like terms: -2 + -10 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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