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Simplifying 12 + -3(x + 7) = 8 + -1x + -11 Reorder the terms: 12 + -3(7 + x) = 8 + -1x + -11 12 + (7 * -3 + x * -3) = 8 + -1x + -11 12 + (-21 + -3x) = 8 + -1x + -11 Combine like terms: 12 + -21 = -9 -9 + -3x = 8 + -1x + -11 Reorder the terms: -9 + -3x = 8 + -11 + -1x Combine like terms: 8 + -11 = -3 -9 + -3x = -3 + -1x Solving -9 + -3x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -9 + -3x + x = -3 + -1x + x Combine like terms: -3x + x = -2x -9 + -2x = -3 + -1x + x Combine like terms: -1x + x = 0 -9 + -2x = -3 + 0 -9 + -2x = -3 Add '9' to each side of the equation. -9 + 9 + -2x = -3 + 9 Combine like terms: -9 + 9 = 0 0 + -2x = -3 + 9 -2x = -3 + 9 Combine like terms: -3 + 9 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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