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Simplifying 3x + -10 = 4(9 + -2x) Reorder the terms: -10 + 3x = 4(9 + -2x) -10 + 3x = (9 * 4 + -2x * 4) -10 + 3x = (36 + -8x) Solving -10 + 3x = 36 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -10 + 3x + 8x = 36 + -8x + 8x Combine like terms: 3x + 8x = 11x -10 + 11x = 36 + -8x + 8x Combine like terms: -8x + 8x = 0 -10 + 11x = 36 + 0 -10 + 11x = 36 Add '10' to each side of the equation. -10 + 10 + 11x = 36 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 36 + 10 11x = 36 + 10 Combine like terms: 36 + 10 = 46 11x = 46 Divide each side by '11'. x = 4.181818182 Simplifying x = 4.181818182
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