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Simplifying 3(4 + -1x) = 5(2x + -9) (4 * 3 + -1x * 3) = 5(2x + -9) (12 + -3x) = 5(2x + -9) Reorder the terms: 12 + -3x = 5(-9 + 2x) 12 + -3x = (-9 * 5 + 2x * 5) 12 + -3x = (-45 + 10x) Solving 12 + -3x = -45 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + -3x + -10x = -45 + 10x + -10x Combine like terms: -3x + -10x = -13x 12 + -13x = -45 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -13x = -45 + 0 12 + -13x = -45 Add '-12' to each side of the equation. 12 + -12 + -13x = -45 + -12 Combine like terms: 12 + -12 = 0 0 + -13x = -45 + -12 -13x = -45 + -12 Combine like terms: -45 + -12 = -57 -13x = -57 Divide each side by '-13'. x = 4.384615385 Simplifying x = 4.384615385
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