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Simplifying 2(3x + 5) + -4 = 12x + 10 Reorder the terms: 2(5 + 3x) + -4 = 12x + 10 (5 * 2 + 3x * 2) + -4 = 12x + 10 (10 + 6x) + -4 = 12x + 10 Reorder the terms: 10 + -4 + 6x = 12x + 10 Combine like terms: 10 + -4 = 6 6 + 6x = 12x + 10 Reorder the terms: 6 + 6x = 10 + 12x Solving 6 + 6x = 10 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 6x + -12x = 10 + 12x + -12x Combine like terms: 6x + -12x = -6x 6 + -6x = 10 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -6x = 10 + 0 6 + -6x = 10 Add '-6' to each side of the equation. 6 + -6 + -6x = 10 + -6 Combine like terms: 6 + -6 = 0 0 + -6x = 10 + -6 -6x = 10 + -6 Combine like terms: 10 + -6 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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