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Simplifying 12x + 6 = 5(3x + -2) Reorder the terms: 6 + 12x = 5(3x + -2) Reorder the terms: 6 + 12x = 5(-2 + 3x) 6 + 12x = (-2 * 5 + 3x * 5) 6 + 12x = (-10 + 15x) Solving 6 + 12x = -10 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 6 + 12x + -15x = -10 + 15x + -15x Combine like terms: 12x + -15x = -3x 6 + -3x = -10 + 15x + -15x Combine like terms: 15x + -15x = 0 6 + -3x = -10 + 0 6 + -3x = -10 Add '-6' to each side of the equation. 6 + -6 + -3x = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -3x = -10 + -6 -3x = -10 + -6 Combine like terms: -10 + -6 = -16 -3x = -16 Divide each side by '-3'. x = 5.333333333 Simplifying x = 5.333333333
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