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Simplifying 12(x + -5) + -3(x + 1) = 0 Reorder the terms: 12(-5 + x) + -3(x + 1) = 0 (-5 * 12 + x * 12) + -3(x + 1) = 0 (-60 + 12x) + -3(x + 1) = 0 Reorder the terms: -60 + 12x + -3(1 + x) = 0 -60 + 12x + (1 * -3 + x * -3) = 0 -60 + 12x + (-3 + -3x) = 0 Reorder the terms: -60 + -3 + 12x + -3x = 0 Combine like terms: -60 + -3 = -63 -63 + 12x + -3x = 0 Combine like terms: 12x + -3x = 9x -63 + 9x = 0 Solving -63 + 9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '63' to each side of the equation. -63 + 63 + 9x = 0 + 63 Combine like terms: -63 + 63 = 0 0 + 9x = 0 + 63 9x = 0 + 63 Combine like terms: 0 + 63 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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