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Simplifying 10 + -1(x + 9) = 6x + -6 Reorder the terms: 10 + -1(9 + x) = 6x + -6 10 + (9 * -1 + x * -1) = 6x + -6 10 + (-9 + -1x) = 6x + -6 Combine like terms: 10 + -9 = 1 1 + -1x = 6x + -6 Reorder the terms: 1 + -1x = -6 + 6x Solving 1 + -1x = -6 + 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. 1 + -1x + -6x = -6 + 6x + -6x Combine like terms: -1x + -6x = -7x 1 + -7x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 1 + -7x = -6 + 0 1 + -7x = -6 Add '-1' to each side of the equation. 1 + -1 + -7x = -6 + -1 Combine like terms: 1 + -1 = 0 0 + -7x = -6 + -1 -7x = -6 + -1 Combine like terms: -6 + -1 = -7 -7x = -7 Divide each side by '-7'. x = 1 Simplifying x = 1
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