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Simplifying 6 + -1(x + 7) = 10(x + 3) + 2 Reorder the terms: 6 + -1(7 + x) = 10(x + 3) + 2 6 + (7 * -1 + x * -1) = 10(x + 3) + 2 6 + (-7 + -1x) = 10(x + 3) + 2 Combine like terms: 6 + -7 = -1 -1 + -1x = 10(x + 3) + 2 Reorder the terms: -1 + -1x = 10(3 + x) + 2 -1 + -1x = (3 * 10 + x * 10) + 2 -1 + -1x = (30 + 10x) + 2 Reorder the terms: -1 + -1x = 30 + 2 + 10x Combine like terms: 30 + 2 = 32 -1 + -1x = 32 + 10x Solving -1 + -1x = 32 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -1 + -1x + -10x = 32 + 10x + -10x Combine like terms: -1x + -10x = -11x -1 + -11x = 32 + 10x + -10x Combine like terms: 10x + -10x = 0 -1 + -11x = 32 + 0 -1 + -11x = 32 Add '1' to each side of the equation. -1 + 1 + -11x = 32 + 1 Combine like terms: -1 + 1 = 0 0 + -11x = 32 + 1 -11x = 32 + 1 Combine like terms: 32 + 1 = 33 -11x = 33 Divide each side by '-11'. x = -3 Simplifying x = -3
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