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Simplifying 6(3x + 8) = 2(10x + 12) Reorder the terms: 6(8 + 3x) = 2(10x + 12) (8 * 6 + 3x * 6) = 2(10x + 12) (48 + 18x) = 2(10x + 12) Reorder the terms: 48 + 18x = 2(12 + 10x) 48 + 18x = (12 * 2 + 10x * 2) 48 + 18x = (24 + 20x) Solving 48 + 18x = 24 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 48 + 18x + -20x = 24 + 20x + -20x Combine like terms: 18x + -20x = -2x 48 + -2x = 24 + 20x + -20x Combine like terms: 20x + -20x = 0 48 + -2x = 24 + 0 48 + -2x = 24 Add '-48' to each side of the equation. 48 + -48 + -2x = 24 + -48 Combine like terms: 48 + -48 = 0 0 + -2x = 24 + -48 -2x = 24 + -48 Combine like terms: 24 + -48 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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