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Simplifying 7(1 + -1x) = 10 + -6(x + 2) (1 * 7 + -1x * 7) = 10 + -6(x + 2) (7 + -7x) = 10 + -6(x + 2) Reorder the terms: 7 + -7x = 10 + -6(2 + x) 7 + -7x = 10 + (2 * -6 + x * -6) 7 + -7x = 10 + (-12 + -6x) Combine like terms: 10 + -12 = -2 7 + -7x = -2 + -6x Solving 7 + -7x = -2 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 7 + -7x + 6x = -2 + -6x + 6x Combine like terms: -7x + 6x = -1x 7 + -1x = -2 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + -1x = -2 + 0 7 + -1x = -2 Add '-7' to each side of the equation. 7 + -7 + -1x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -2 + -7 -1x = -2 + -7 Combine like terms: -2 + -7 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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