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Simplifying 3(x + 6) + -4(x + 2) = 5(2x + -3) Reorder the terms: 3(6 + x) + -4(x + 2) = 5(2x + -3) (6 * 3 + x * 3) + -4(x + 2) = 5(2x + -3) (18 + 3x) + -4(x + 2) = 5(2x + -3) Reorder the terms: 18 + 3x + -4(2 + x) = 5(2x + -3) 18 + 3x + (2 * -4 + x * -4) = 5(2x + -3) 18 + 3x + (-8 + -4x) = 5(2x + -3) Reorder the terms: 18 + -8 + 3x + -4x = 5(2x + -3) Combine like terms: 18 + -8 = 10 10 + 3x + -4x = 5(2x + -3) Combine like terms: 3x + -4x = -1x 10 + -1x = 5(2x + -3) Reorder the terms: 10 + -1x = 5(-3 + 2x) 10 + -1x = (-3 * 5 + 2x * 5) 10 + -1x = (-15 + 10x) Solving 10 + -1x = -15 + 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. 10 + -1x + -10x = -15 + 10x + -10x Combine like terms: -1x + -10x = -11x 10 + -11x = -15 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + -11x = -15 + 0 10 + -11x = -15 Add '-10' to each side of the equation. 10 + -10 + -11x = -15 + -10 Combine like terms: 10 + -10 = 0 0 + -11x = -15 + -10 -11x = -15 + -10 Combine like terms: -15 + -10 = -25 -11x = -25 Divide each side by '-11'. x = 2.272727273 Simplifying x = 2.272727273
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