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Simplifying 12 + -9x = 3 + -1(x + 10) Reorder the terms: 12 + -9x = 3 + -1(10 + x) 12 + -9x = 3 + (10 * -1 + x * -1) 12 + -9x = 3 + (-10 + -1x) Combine like terms: 3 + -10 = -7 12 + -9x = -7 + -1x Solving 12 + -9x = -7 + -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. 12 + -9x + x = -7 + -1x + x Combine like terms: -9x + x = -8x 12 + -8x = -7 + -1x + x Combine like terms: -1x + x = 0 12 + -8x = -7 + 0 12 + -8x = -7 Add '-12' to each side of the equation. 12 + -12 + -8x = -7 + -12 Combine like terms: 12 + -12 = 0 0 + -8x = -7 + -12 -8x = -7 + -12 Combine like terms: -7 + -12 = -19 -8x = -19 Divide each side by '-8'. x = 2.375 Simplifying x = 2.375
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