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Simplifying 12 + -8(x + 1) = 11 + -7(x + 2) Reorder the terms: 12 + -8(1 + x) = 11 + -7(x + 2) 12 + (1 * -8 + x * -8) = 11 + -7(x + 2) 12 + (-8 + -8x) = 11 + -7(x + 2) Combine like terms: 12 + -8 = 4 4 + -8x = 11 + -7(x + 2) Reorder the terms: 4 + -8x = 11 + -7(2 + x) 4 + -8x = 11 + (2 * -7 + x * -7) 4 + -8x = 11 + (-14 + -7x) Combine like terms: 11 + -14 = -3 4 + -8x = -3 + -7x Solving 4 + -8x = -3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -8x + 7x = -3 + -7x + 7x Combine like terms: -8x + 7x = -1x 4 + -1x = -3 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + -1x = -3 + 0 4 + -1x = -3 Add '-4' to each side of the equation. 4 + -4 + -1x = -3 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -3 + -4 -1x = -3 + -4 Combine like terms: -3 + -4 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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