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Simplifying 2(3x + 5) = 3(6x + -4) Reorder the terms: 2(5 + 3x) = 3(6x + -4) (5 * 2 + 3x * 2) = 3(6x + -4) (10 + 6x) = 3(6x + -4) Reorder the terms: 10 + 6x = 3(-4 + 6x) 10 + 6x = (-4 * 3 + 6x * 3) 10 + 6x = (-12 + 18x) Solving 10 + 6x = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10 + 6x + -18x = -12 + 18x + -18x Combine like terms: 6x + -18x = -12x 10 + -12x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 10 + -12x = -12 + 0 10 + -12x = -12 Add '-10' to each side of the equation. 10 + -10 + -12x = -12 + -10 Combine like terms: 10 + -10 = 0 0 + -12x = -12 + -10 -12x = -12 + -10 Combine like terms: -12 + -10 = -22 -12x = -22 Divide each side by '-12'. x = 1.833333333 Simplifying x = 1.833333333
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