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Simplifying 3(x + -12) + -5(x + -7) = 0 Reorder the terms: 3(-12 + x) + -5(x + -7) = 0 (-12 * 3 + x * 3) + -5(x + -7) = 0 (-36 + 3x) + -5(x + -7) = 0 Reorder the terms: -36 + 3x + -5(-7 + x) = 0 -36 + 3x + (-7 * -5 + x * -5) = 0 -36 + 3x + (35 + -5x) = 0 Reorder the terms: -36 + 35 + 3x + -5x = 0 Combine like terms: -36 + 35 = -1 -1 + 3x + -5x = 0 Combine like terms: 3x + -5x = -2x -1 + -2x = 0 Solving -1 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1' to each side of the equation. -1 + 1 + -2x = 0 + 1 Combine like terms: -1 + 1 = 0 0 + -2x = 0 + 1 -2x = 0 + 1 Combine like terms: 0 + 1 = 1 -2x = 1 Divide each side by '-2'. x = -0.5 Simplifying x = -0.5
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