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Simplifying 12 + -3(2x + 1) = 7x + -3(7x + x) Reorder the terms: 12 + -3(1 + 2x) = 7x + -3(7x + x) 12 + (1 * -3 + 2x * -3) = 7x + -3(7x + x) 12 + (-3 + -6x) = 7x + -3(7x + x) Combine like terms: 12 + -3 = 9 9 + -6x = 7x + -3(7x + x) Combine like terms: 7x + x = 8x 9 + -6x = 7x + -3(8x) Remove parenthesis around (8x) 9 + -6x = 7x + -3 * 8x Multiply -3 * 8 9 + -6x = 7x + -24x Combine like terms: 7x + -24x = -17x 9 + -6x = -17x Solving 9 + -6x = -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. 9 + -6x + 17x = -17x + 17x Combine like terms: -6x + 17x = 11x 9 + 11x = -17x + 17x Combine like terms: -17x + 17x = 0 9 + 11x = 0 Add '-9' to each side of the equation. 9 + -9 + 11x = 0 + -9 Combine like terms: 9 + -9 = 0 0 + 11x = 0 + -9 11x = 0 + -9 Combine like terms: 0 + -9 = -9 11x = -9 Divide each side by '11'. x = -0.8181818182 Simplifying x = -0.8181818182
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