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Simplifying 2(x + -4) + 3(2x + 7) = 12 Reorder the terms: 2(-4 + x) + 3(2x + 7) = 12 (-4 * 2 + x * 2) + 3(2x + 7) = 12 (-8 + 2x) + 3(2x + 7) = 12 Reorder the terms: -8 + 2x + 3(7 + 2x) = 12 -8 + 2x + (7 * 3 + 2x * 3) = 12 -8 + 2x + (21 + 6x) = 12 Reorder the terms: -8 + 21 + 2x + 6x = 12 Combine like terms: -8 + 21 = 13 13 + 2x + 6x = 12 Combine like terms: 2x + 6x = 8x 13 + 8x = 12 Solving 13 + 8x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + -13 + 8x = 12 + -13 Combine like terms: 13 + -13 = 0 0 + 8x = 12 + -13 8x = 12 + -13 Combine like terms: 12 + -13 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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