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Simplifying 10(x + -2) + 12(x + 4) = x Reorder the terms: 10(-2 + x) + 12(x + 4) = x (-2 * 10 + x * 10) + 12(x + 4) = x (-20 + 10x) + 12(x + 4) = x Reorder the terms: -20 + 10x + 12(4 + x) = x -20 + 10x + (4 * 12 + x * 12) = x -20 + 10x + (48 + 12x) = x Reorder the terms: -20 + 48 + 10x + 12x = x Combine like terms: -20 + 48 = 28 28 + 10x + 12x = x Combine like terms: 10x + 12x = 22x 28 + 22x = x Solving 28 + 22x = x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 28 + 22x + -1x = x + -1x Combine like terms: 22x + -1x = 21x 28 + 21x = x + -1x Combine like terms: x + -1x = 0 28 + 21x = 0 Add '-28' to each side of the equation. 28 + -28 + 21x = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 21x = 0 + -28 21x = 0 + -28 Combine like terms: 0 + -28 = -28 21x = -28 Divide each side by '21'. x = -1.333333333 Simplifying x = -1.333333333
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