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Simplifying 4 + -1(5 + -2x) = 3(x + -9) 4 + (5 * -1 + -2x * -1) = 3(x + -9) 4 + (-5 + 2x) = 3(x + -9) Combine like terms: 4 + -5 = -1 -1 + 2x = 3(x + -9) Reorder the terms: -1 + 2x = 3(-9 + x) -1 + 2x = (-9 * 3 + x * 3) -1 + 2x = (-27 + 3x) Solving -1 + 2x = -27 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 2x + -3x = -27 + 3x + -3x Combine like terms: 2x + -3x = -1x -1 + -1x = -27 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + -1x = -27 + 0 -1 + -1x = -27 Add '1' to each side of the equation. -1 + 1 + -1x = -27 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = -27 + 1 -1x = -27 + 1 Combine like terms: -27 + 1 = -26 -1x = -26 Divide each side by '-1'. x = 26 Simplifying x = 26
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