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Simplifying 3(4x + 4) = 5(6x + 3) Reorder the terms: 3(4 + 4x) = 5(6x + 3) (4 * 3 + 4x * 3) = 5(6x + 3) (12 + 12x) = 5(6x + 3) Reorder the terms: 12 + 12x = 5(3 + 6x) 12 + 12x = (3 * 5 + 6x * 5) 12 + 12x = (15 + 30x) Solving 12 + 12x = 15 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 12 + 12x + -30x = 15 + 30x + -30x Combine like terms: 12x + -30x = -18x 12 + -18x = 15 + 30x + -30x Combine like terms: 30x + -30x = 0 12 + -18x = 15 + 0 12 + -18x = 15 Add '-12' to each side of the equation. 12 + -12 + -18x = 15 + -12 Combine like terms: 12 + -12 = 0 0 + -18x = 15 + -12 -18x = 15 + -12 Combine like terms: 15 + -12 = 3 -18x = 3 Divide each side by '-18'. x = -0.1666666667 Simplifying x = -0.1666666667
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