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Simplifying 9x + -4(2x + -3) = 5(x + 2) Reorder the terms: 9x + -4(-3 + 2x) = 5(x + 2) 9x + (-3 * -4 + 2x * -4) = 5(x + 2) 9x + (12 + -8x) = 5(x + 2) Reorder the terms: 12 + 9x + -8x = 5(x + 2) Combine like terms: 9x + -8x = 1x 12 + 1x = 5(x + 2) Reorder the terms: 12 + 1x = 5(2 + x) 12 + 1x = (2 * 5 + x * 5) 12 + 1x = (10 + 5x) Solving 12 + 1x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 1x + -5x = 10 + 5x + -5x Combine like terms: 1x + -5x = -4x 12 + -4x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -4x = 10 + 0 12 + -4x = 10 Add '-12' to each side of the equation. 12 + -12 + -4x = 10 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 10 + -12 -4x = 10 + -12 Combine like terms: 10 + -12 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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