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Simplifying x + -10(10 + -3x) = -3(11x + 12) x + (10 * -10 + -3x * -10) = -3(11x + 12) x + (-100 + 30x) = -3(11x + 12) Reorder the terms: -100 + x + 30x = -3(11x + 12) Combine like terms: x + 30x = 31x -100 + 31x = -3(11x + 12) Reorder the terms: -100 + 31x = -3(12 + 11x) -100 + 31x = (12 * -3 + 11x * -3) -100 + 31x = (-36 + -33x) Solving -100 + 31x = -36 + -33x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '33x' to each side of the equation. -100 + 31x + 33x = -36 + -33x + 33x Combine like terms: 31x + 33x = 64x -100 + 64x = -36 + -33x + 33x Combine like terms: -33x + 33x = 0 -100 + 64x = -36 + 0 -100 + 64x = -36 Add '100' to each side of the equation. -100 + 100 + 64x = -36 + 100 Combine like terms: -100 + 100 = 0 0 + 64x = -36 + 100 64x = -36 + 100 Combine like terms: -36 + 100 = 64 64x = 64 Divide each side by '64'. x = 1 Simplifying x = 1
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