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Simplifying 12(2x) + 20 = 6(5x + 2) Remove parenthesis around (2x) 12 * 2x + 20 = 6(5x + 2) Multiply 12 * 2 24x + 20 = 6(5x + 2) Reorder the terms: 20 + 24x = 6(5x + 2) Reorder the terms: 20 + 24x = 6(2 + 5x) 20 + 24x = (2 * 6 + 5x * 6) 20 + 24x = (12 + 30x) Solving 20 + 24x = 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. 20 + 24x + -30x = 12 + 30x + -30x Combine like terms: 24x + -30x = -6x 20 + -6x = 12 + 30x + -30x Combine like terms: 30x + -30x = 0 20 + -6x = 12 + 0 20 + -6x = 12 Add '-20' to each side of the equation. 20 + -20 + -6x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -6x = 12 + -20 -6x = 12 + -20 Combine like terms: 12 + -20 = -8 -6x = -8 Divide each side by '-6'. x = 1.333333333 Simplifying x = 1.333333333
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