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Simplifying 4(5x + 3) = 6(4x + -8) Reorder the terms: 4(3 + 5x) = 6(4x + -8) (3 * 4 + 5x * 4) = 6(4x + -8) (12 + 20x) = 6(4x + -8) Reorder the terms: 12 + 20x = 6(-8 + 4x) 12 + 20x = (-8 * 6 + 4x * 6) 12 + 20x = (-48 + 24x) Solving 12 + 20x = -48 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + 20x + -24x = -48 + 24x + -24x Combine like terms: 20x + -24x = -4x 12 + -4x = -48 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -4x = -48 + 0 12 + -4x = -48 Add '-12' to each side of the equation. 12 + -12 + -4x = -48 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = -48 + -12 -4x = -48 + -12 Combine like terms: -48 + -12 = -60 -4x = -60 Divide each side by '-4'. x = 15 Simplifying x = 15
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