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Simplifying 2(5 + -9x) = -3(x + -4) (5 * 2 + -9x * 2) = -3(x + -4) (10 + -18x) = -3(x + -4) Reorder the terms: 10 + -18x = -3(-4 + x) 10 + -18x = (-4 * -3 + x * -3) 10 + -18x = (12 + -3x) Solving 10 + -18x = 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. 10 + -18x + 3x = 12 + -3x + 3x Combine like terms: -18x + 3x = -15x 10 + -15x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + -15x = 12 + 0 10 + -15x = 12 Add '-10' to each side of the equation. 10 + -10 + -15x = 12 + -10 Combine like terms: 10 + -10 = 0 0 + -15x = 12 + -10 -15x = 12 + -10 Combine like terms: 12 + -10 = 2 -15x = 2 Divide each side by '-15'. x = -0.1333333333 Simplifying x = -0.1333333333
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