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Simplifying 12(10x + 1) = 14(9x) Reorder the terms: 12(1 + 10x) = 14(9x) (1 * 12 + 10x * 12) = 14(9x) (12 + 120x) = 14(9x) Remove parenthesis around (9x) 12 + 120x = 14 * 9x Multiply 14 * 9 12 + 120x = 126x Solving 12 + 120x = 126x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-126x' to each side of the equation. 12 + 120x + -126x = 126x + -126x Combine like terms: 120x + -126x = -6x 12 + -6x = 126x + -126x Combine like terms: 126x + -126x = 0 12 + -6x = 0 Add '-12' to each side of the equation. 12 + -12 + -6x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = 0 + -12 -6x = 0 + -12 Combine like terms: 0 + -12 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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