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Simplifying 2(3x + 4) = 5(6x + 7) Reorder the terms: 2(4 + 3x) = 5(6x + 7) (4 * 2 + 3x * 2) = 5(6x + 7) (8 + 6x) = 5(6x + 7) Reorder the terms: 8 + 6x = 5(7 + 6x) 8 + 6x = (7 * 5 + 6x * 5) 8 + 6x = (35 + 30x) Solving 8 + 6x = 35 + 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. 8 + 6x + -30x = 35 + 30x + -30x Combine like terms: 6x + -30x = -24x 8 + -24x = 35 + 30x + -30x Combine like terms: 30x + -30x = 0 8 + -24x = 35 + 0 8 + -24x = 35 Add '-8' to each side of the equation. 8 + -8 + -24x = 35 + -8 Combine like terms: 8 + -8 = 0 0 + -24x = 35 + -8 -24x = 35 + -8 Combine like terms: 35 + -8 = 27 -24x = 27 Divide each side by '-24'. x = -1.125 Simplifying x = -1.125
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