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Simplifying 7(2 + -1x) + 4 = x + -12 + 10x (2 * 7 + -1x * 7) + 4 = x + -12 + 10x (14 + -7x) + 4 = x + -12 + 10x Reorder the terms: 14 + 4 + -7x = x + -12 + 10x Combine like terms: 14 + 4 = 18 18 + -7x = x + -12 + 10x Reorder the terms: 18 + -7x = -12 + x + 10x Combine like terms: x + 10x = 11x 18 + -7x = -12 + 11x Solving 18 + -7x = -12 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 18 + -7x + -11x = -12 + 11x + -11x Combine like terms: -7x + -11x = -18x 18 + -18x = -12 + 11x + -11x Combine like terms: 11x + -11x = 0 18 + -18x = -12 + 0 18 + -18x = -12 Add '-18' to each side of the equation. 18 + -18 + -18x = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -18x = -12 + -18 -18x = -12 + -18 Combine like terms: -12 + -18 = -30 -18x = -30 Divide each side by '-18'. x = 1.666666667 Simplifying x = 1.666666667
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