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Simplifying 12(x + 6) + -6x = 4(x + 10) Reorder the terms: 12(6 + x) + -6x = 4(x + 10) (6 * 12 + x * 12) + -6x = 4(x + 10) (72 + 12x) + -6x = 4(x + 10) Combine like terms: 12x + -6x = 6x 72 + 6x = 4(x + 10) Reorder the terms: 72 + 6x = 4(10 + x) 72 + 6x = (10 * 4 + x * 4) 72 + 6x = (40 + 4x) Solving 72 + 6x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 72 + 6x + -4x = 40 + 4x + -4x Combine like terms: 6x + -4x = 2x 72 + 2x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 72 + 2x = 40 + 0 72 + 2x = 40 Add '-72' to each side of the equation. 72 + -72 + 2x = 40 + -72 Combine like terms: 72 + -72 = 0 0 + 2x = 40 + -72 2x = 40 + -72 Combine like terms: 40 + -72 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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