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Simplifying 3(2x + -5) = -4(7x + -8) Reorder the terms: 3(-5 + 2x) = -4(7x + -8) (-5 * 3 + 2x * 3) = -4(7x + -8) (-15 + 6x) = -4(7x + -8) Reorder the terms: -15 + 6x = -4(-8 + 7x) -15 + 6x = (-8 * -4 + 7x * -4) -15 + 6x = (32 + -28x) Solving -15 + 6x = 32 + -28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28x' to each side of the equation. -15 + 6x + 28x = 32 + -28x + 28x Combine like terms: 6x + 28x = 34x -15 + 34x = 32 + -28x + 28x Combine like terms: -28x + 28x = 0 -15 + 34x = 32 + 0 -15 + 34x = 32 Add '15' to each side of the equation. -15 + 15 + 34x = 32 + 15 Combine like terms: -15 + 15 = 0 0 + 34x = 32 + 15 34x = 32 + 15 Combine like terms: 32 + 15 = 47 34x = 47 Divide each side by '34'. x = 1.382352941 Simplifying x = 1.382352941
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