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Simplifying 3(1 + -2x) = x + 10 (1 * 3 + -2x * 3) = x + 10 (3 + -6x) = x + 10 Reorder the terms: 3 + -6x = 10 + x Solving 3 + -6x = 10 + 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. 3 + -6x + -1x = 10 + x + -1x Combine like terms: -6x + -1x = -7x 3 + -7x = 10 + x + -1x Combine like terms: x + -1x = 0 3 + -7x = 10 + 0 3 + -7x = 10 Add '-3' to each side of the equation. 3 + -3 + -7x = 10 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = 10 + -3 -7x = 10 + -3 Combine like terms: 10 + -3 = 7 -7x = 7 Divide each side by '-7'. x = -1 Simplifying x = -1
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