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Simplifying 2(6x + -7) = 3(-4x + 5) Reorder the terms: 2(-7 + 6x) = 3(-4x + 5) (-7 * 2 + 6x * 2) = 3(-4x + 5) (-14 + 12x) = 3(-4x + 5) Reorder the terms: -14 + 12x = 3(5 + -4x) -14 + 12x = (5 * 3 + -4x * 3) -14 + 12x = (15 + -12x) Solving -14 + 12x = 15 + -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. -14 + 12x + 12x = 15 + -12x + 12x Combine like terms: 12x + 12x = 24x -14 + 24x = 15 + -12x + 12x Combine like terms: -12x + 12x = 0 -14 + 24x = 15 + 0 -14 + 24x = 15 Add '14' to each side of the equation. -14 + 14 + 24x = 15 + 14 Combine like terms: -14 + 14 = 0 0 + 24x = 15 + 14 24x = 15 + 14 Combine like terms: 15 + 14 = 29 24x = 29 Divide each side by '24'. x = 1.208333333 Simplifying x = 1.208333333
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