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Simplifying 4(x + 5) = 6(4x + -5) Reorder the terms: 4(5 + x) = 6(4x + -5) (5 * 4 + x * 4) = 6(4x + -5) (20 + 4x) = 6(4x + -5) Reorder the terms: 20 + 4x = 6(-5 + 4x) 20 + 4x = (-5 * 6 + 4x * 6) 20 + 4x = (-30 + 24x) Solving 20 + 4x = -30 + 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. 20 + 4x + -24x = -30 + 24x + -24x Combine like terms: 4x + -24x = -20x 20 + -20x = -30 + 24x + -24x Combine like terms: 24x + -24x = 0 20 + -20x = -30 + 0 20 + -20x = -30 Add '-20' to each side of the equation. 20 + -20 + -20x = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -20x = -30 + -20 -20x = -30 + -20 Combine like terms: -30 + -20 = -50 -20x = -50 Divide each side by '-20'. x = 2.5 Simplifying x = 2.5
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