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Simplifying -5(2x + -1) + -1(4x + 9) = 3(x + -4) Reorder the terms: -5(-1 + 2x) + -1(4x + 9) = 3(x + -4) (-1 * -5 + 2x * -5) + -1(4x + 9) = 3(x + -4) (5 + -10x) + -1(4x + 9) = 3(x + -4) Reorder the terms: 5 + -10x + -1(9 + 4x) = 3(x + -4) 5 + -10x + (9 * -1 + 4x * -1) = 3(x + -4) 5 + -10x + (-9 + -4x) = 3(x + -4) Reorder the terms: 5 + -9 + -10x + -4x = 3(x + -4) Combine like terms: 5 + -9 = -4 -4 + -10x + -4x = 3(x + -4) Combine like terms: -10x + -4x = -14x -4 + -14x = 3(x + -4) Reorder the terms: -4 + -14x = 3(-4 + x) -4 + -14x = (-4 * 3 + x * 3) -4 + -14x = (-12 + 3x) Solving -4 + -14x = -12 + 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. -4 + -14x + -3x = -12 + 3x + -3x Combine like terms: -14x + -3x = -17x -4 + -17x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 -4 + -17x = -12 + 0 -4 + -17x = -12 Add '4' to each side of the equation. -4 + 4 + -17x = -12 + 4 Combine like terms: -4 + 4 = 0 0 + -17x = -12 + 4 -17x = -12 + 4 Combine like terms: -12 + 4 = -8 -17x = -8 Divide each side by '-17'. x = 0.4705882353 Simplifying x = 0.4705882353
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