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Simplifying 5(x + -12) = 7x Reorder the terms: 5(-12 + x) = 7x (-12 * 5 + x * 5) = 7x (-60 + 5x) = 7x Solving -60 + 5x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -60 + 5x + -7x = 7x + -7x Combine like terms: 5x + -7x = -2x -60 + -2x = 7x + -7x Combine like terms: 7x + -7x = 0 -60 + -2x = 0 Add '60' to each side of the equation. -60 + 60 + -2x = 0 + 60 Combine like terms: -60 + 60 = 0 0 + -2x = 0 + 60 -2x = 0 + 60 Combine like terms: 0 + 60 = 60 -2x = 60 Divide each side by '-2'. x = -30 Simplifying x = -30
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