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Simplifying 2x + -3x = 10(9 + -2x) + -1(12x + -3) Combine like terms: 2x + -3x = -1x -1x = 10(9 + -2x) + -1(12x + -3) -1x = (9 * 10 + -2x * 10) + -1(12x + -3) -1x = (90 + -20x) + -1(12x + -3) Reorder the terms: -1x = 90 + -20x + -1(-3 + 12x) -1x = 90 + -20x + (-3 * -1 + 12x * -1) -1x = 90 + -20x + (3 + -12x) Reorder the terms: -1x = 90 + 3 + -20x + -12x Combine like terms: 90 + 3 = 93 -1x = 93 + -20x + -12x Combine like terms: -20x + -12x = -32x -1x = 93 + -32x Solving -1x = 93 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. -1x + 32x = 93 + -32x + 32x Combine like terms: -1x + 32x = 31x 31x = 93 + -32x + 32x Combine like terms: -32x + 32x = 0 31x = 93 + 0 31x = 93 Divide each side by '31'. x = 3 Simplifying x = 3
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