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Simplifying 4(5x + 2) = 6(5x + -2) Reorder the terms: 4(2 + 5x) = 6(5x + -2) (2 * 4 + 5x * 4) = 6(5x + -2) (8 + 20x) = 6(5x + -2) Reorder the terms: 8 + 20x = 6(-2 + 5x) 8 + 20x = (-2 * 6 + 5x * 6) 8 + 20x = (-12 + 30x) Solving 8 + 20x = -12 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 8 + 20x + -30x = -12 + 30x + -30x Combine like terms: 20x + -30x = -10x 8 + -10x = -12 + 30x + -30x Combine like terms: 30x + -30x = 0 8 + -10x = -12 + 0 8 + -10x = -12 Add '-8' to each side of the equation. 8 + -8 + -10x = -12 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -12 + -8 -10x = -12 + -8 Combine like terms: -12 + -8 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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