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Simplifying 9x + 3(x + -1y) = 10(x + -5) + 7 9x + (x * 3 + -1y * 3) = 10(x + -5) + 7 9x + (3x + -3y) = 10(x + -5) + 7 Combine like terms: 9x + 3x = 12x 12x + -3y = 10(x + -5) + 7 Reorder the terms: 12x + -3y = 10(-5 + x) + 7 12x + -3y = (-5 * 10 + x * 10) + 7 12x + -3y = (-50 + 10x) + 7 Reorder the terms: 12x + -3y = -50 + 7 + 10x Combine like terms: -50 + 7 = -43 12x + -3y = -43 + 10x Solving 12x + -3y = -43 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12x + -10x + -3y = -43 + 10x + -10x Combine like terms: 12x + -10x = 2x 2x + -3y = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 2x + -3y = -43 + 0 2x + -3y = -43 Add '3y' to each side of the equation. 2x + -3y + 3y = -43 + 3y Combine like terms: -3y + 3y = 0 2x + 0 = -43 + 3y 2x = -43 + 3y Divide each side by '2'. x = -21.5 + 1.5y Simplifying x = -21.5 + 1.5y
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