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Simplifying 12 + 7x = 10(x + -6) Reorder the terms: 12 + 7x = 10(-6 + x) 12 + 7x = (-6 * 10 + x * 10) 12 + 7x = (-60 + 10x) Solving 12 + 7x = -60 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 12 + 7x + -10x = -60 + 10x + -10x Combine like terms: 7x + -10x = -3x 12 + -3x = -60 + 10x + -10x Combine like terms: 10x + -10x = 0 12 + -3x = -60 + 0 12 + -3x = -60 Add '-12' to each side of the equation. 12 + -12 + -3x = -60 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -60 + -12 -3x = -60 + -12 Combine like terms: -60 + -12 = -72 -3x = -72 Divide each side by '-3'. x = 24 Simplifying x = 24
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