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Simplifying 10(x + 7) = 12x Reorder the terms: 10(7 + x) = 12x (7 * 10 + x * 10) = 12x (70 + 10x) = 12x Solving 70 + 10x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 70 + 10x + -12x = 12x + -12x Combine like terms: 10x + -12x = -2x 70 + -2x = 12x + -12x Combine like terms: 12x + -12x = 0 70 + -2x = 0 Add '-70' to each side of the equation. 70 + -70 + -2x = 0 + -70 Combine like terms: 70 + -70 = 0 0 + -2x = 0 + -70 -2x = 0 + -70 Combine like terms: 0 + -70 = -70 -2x = -70 Divide each side by '-2'. x = 35 Simplifying x = 35
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