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Simplifying 12 + -2(3x + 4) + 2x = 8x + 15 Reorder the terms: 12 + -2(4 + 3x) + 2x = 8x + 15 12 + (4 * -2 + 3x * -2) + 2x = 8x + 15 12 + (-8 + -6x) + 2x = 8x + 15 Combine like terms: 12 + -8 = 4 4 + -6x + 2x = 8x + 15 Combine like terms: -6x + 2x = -4x 4 + -4x = 8x + 15 Reorder the terms: 4 + -4x = 15 + 8x Solving 4 + -4x = 15 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + -4x + -8x = 15 + 8x + -8x Combine like terms: -4x + -8x = -12x 4 + -12x = 15 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -12x = 15 + 0 4 + -12x = 15 Add '-4' to each side of the equation. 4 + -4 + -12x = 15 + -4 Combine like terms: 4 + -4 = 0 0 + -12x = 15 + -4 -12x = 15 + -4 Combine like terms: 15 + -4 = 11 -12x = 11 Divide each side by '-12'. x = -0.9166666667 Simplifying x = -0.9166666667
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