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