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Simplifying 2(3x + -5) + 15 = 3(4x + 7) + -9 Reorder the terms: 2(-5 + 3x) + 15 = 3(4x + 7) + -9 (-5 * 2 + 3x * 2) + 15 = 3(4x + 7) + -9 (-10 + 6x) + 15 = 3(4x + 7) + -9 Reorder the terms: -10 + 15 + 6x = 3(4x + 7) + -9 Combine like terms: -10 + 15 = 5 5 + 6x = 3(4x + 7) + -9 Reorder the terms: 5 + 6x = 3(7 + 4x) + -9 5 + 6x = (7 * 3 + 4x * 3) + -9 5 + 6x = (21 + 12x) + -9 Reorder the terms: 5 + 6x = 21 + -9 + 12x Combine like terms: 21 + -9 = 12 5 + 6x = 12 + 12x Solving 5 + 6x = 12 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 5 + 6x + -12x = 12 + 12x + -12x Combine like terms: 6x + -12x = -6x 5 + -6x = 12 + 12x + -12x Combine like terms: 12x + -12x = 0 5 + -6x = 12 + 0 5 + -6x = 12 Add '-5' to each side of the equation. 5 + -5 + -6x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -6x = 12 + -5 -6x = 12 + -5 Combine like terms: 12 + -5 = 7 -6x = 7 Divide each side by '-6'. x = -1.166666667 Simplifying x = -1.166666667
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