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Simplifying 1 + 4(6 + -2x) = 3(x + 4) 1 + (6 * 4 + -2x * 4) = 3(x + 4) 1 + (24 + -8x) = 3(x + 4) Combine like terms: 1 + 24 = 25 25 + -8x = 3(x + 4) Reorder the terms: 25 + -8x = 3(4 + x) 25 + -8x = (4 * 3 + x * 3) 25 + -8x = (12 + 3x) Solving 25 + -8x = 12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + -8x + -3x = 12 + 3x + -3x Combine like terms: -8x + -3x = -11x 25 + -11x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + -11x = 12 + 0 25 + -11x = 12 Add '-25' to each side of the equation. 25 + -25 + -11x = 12 + -25 Combine like terms: 25 + -25 = 0 0 + -11x = 12 + -25 -11x = 12 + -25 Combine like terms: 12 + -25 = -13 -11x = -13 Divide each side by '-11'. x = 1.181818182 Simplifying x = 1.181818182
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