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Simplifying 6(2 + -3x) = 5(x + 4) (2 * 6 + -3x * 6) = 5(x + 4) (12 + -18x) = 5(x + 4) Reorder the terms: 12 + -18x = 5(4 + x) 12 + -18x = (4 * 5 + x * 5) 12 + -18x = (20 + 5x) Solving 12 + -18x = 20 + 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 + -18x + -5x = 20 + 5x + -5x Combine like terms: -18x + -5x = -23x 12 + -23x = 20 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -23x = 20 + 0 12 + -23x = 20 Add '-12' to each side of the equation. 12 + -12 + -23x = 20 + -12 Combine like terms: 12 + -12 = 0 0 + -23x = 20 + -12 -23x = 20 + -12 Combine like terms: 20 + -12 = 8 -23x = 8 Divide each side by '-23'. x = -0.347826087 Simplifying x = -0.347826087
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