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Simplifying 13(x + -7) + -10(x + 5) = 12 Reorder the terms: 13(-7 + x) + -10(x + 5) = 12 (-7 * 13 + x * 13) + -10(x + 5) = 12 (-91 + 13x) + -10(x + 5) = 12 Reorder the terms: -91 + 13x + -10(5 + x) = 12 -91 + 13x + (5 * -10 + x * -10) = 12 -91 + 13x + (-50 + -10x) = 12 Reorder the terms: -91 + -50 + 13x + -10x = 12 Combine like terms: -91 + -50 = -141 -141 + 13x + -10x = 12 Combine like terms: 13x + -10x = 3x -141 + 3x = 12 Solving -141 + 3x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '141' to each side of the equation. -141 + 141 + 3x = 12 + 141 Combine like terms: -141 + 141 = 0 0 + 3x = 12 + 141 3x = 12 + 141 Combine like terms: 12 + 141 = 153 3x = 153 Divide each side by '3'. x = 51 Simplifying x = 51
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