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Simplifying -5(3x + -9) + -1x = -3(x + -4) Reorder the terms: -5(-9 + 3x) + -1x = -3(x + -4) (-9 * -5 + 3x * -5) + -1x = -3(x + -4) (45 + -15x) + -1x = -3(x + -4) Combine like terms: -15x + -1x = -16x 45 + -16x = -3(x + -4) Reorder the terms: 45 + -16x = -3(-4 + x) 45 + -16x = (-4 * -3 + x * -3) 45 + -16x = (12 + -3x) Solving 45 + -16x = 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. 45 + -16x + 3x = 12 + -3x + 3x Combine like terms: -16x + 3x = -13x 45 + -13x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 45 + -13x = 12 + 0 45 + -13x = 12 Add '-45' to each side of the equation. 45 + -45 + -13x = 12 + -45 Combine like terms: 45 + -45 = 0 0 + -13x = 12 + -45 -13x = 12 + -45 Combine like terms: 12 + -45 = -33 -13x = -33 Divide each side by '-13'. x = 2.538461538 Simplifying x = 2.538461538
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