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Simplifying 2(4x + -8) = 3(5x + -7) Reorder the terms: 2(-8 + 4x) = 3(5x + -7) (-8 * 2 + 4x * 2) = 3(5x + -7) (-16 + 8x) = 3(5x + -7) Reorder the terms: -16 + 8x = 3(-7 + 5x) -16 + 8x = (-7 * 3 + 5x * 3) -16 + 8x = (-21 + 15x) Solving -16 + 8x = -21 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -16 + 8x + -15x = -21 + 15x + -15x Combine like terms: 8x + -15x = -7x -16 + -7x = -21 + 15x + -15x Combine like terms: 15x + -15x = 0 -16 + -7x = -21 + 0 -16 + -7x = -21 Add '16' to each side of the equation. -16 + 16 + -7x = -21 + 16 Combine like terms: -16 + 16 = 0 0 + -7x = -21 + 16 -7x = -21 + 16 Combine like terms: -21 + 16 = -5 -7x = -5 Divide each side by '-7'. x = 0.7142857143 Simplifying x = 0.7142857143
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