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Simplifying 10x + 6(4 + -1x) = 2x + -12 10x + (4 * 6 + -1x * 6) = 2x + -12 10x + (24 + -6x) = 2x + -12 Reorder the terms: 24 + 10x + -6x = 2x + -12 Combine like terms: 10x + -6x = 4x 24 + 4x = 2x + -12 Reorder the terms: 24 + 4x = -12 + 2x Solving 24 + 4x = -12 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 24 + 4x + -2x = -12 + 2x + -2x Combine like terms: 4x + -2x = 2x 24 + 2x = -12 + 2x + -2x Combine like terms: 2x + -2x = 0 24 + 2x = -12 + 0 24 + 2x = -12 Add '-24' to each side of the equation. 24 + -24 + 2x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + 2x = -12 + -24 2x = -12 + -24 Combine like terms: -12 + -24 = -36 2x = -36 Divide each side by '2'. x = -18 Simplifying x = -18
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