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Simplifying 6(x + 4) = 10 + -2x Reorder the terms: 6(4 + x) = 10 + -2x (4 * 6 + x * 6) = 10 + -2x (24 + 6x) = 10 + -2x Solving 24 + 6x = 10 + -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 + 6x + 2x = 10 + -2x + 2x Combine like terms: 6x + 2x = 8x 24 + 8x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 8x = 10 + 0 24 + 8x = 10 Add '-24' to each side of the equation. 24 + -24 + 8x = 10 + -24 Combine like terms: 24 + -24 = 0 0 + 8x = 10 + -24 8x = 10 + -24 Combine like terms: 10 + -24 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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