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Simplifying 2(x + 6) + -10x = 3(x + -4) Reorder the terms: 2(6 + x) + -10x = 3(x + -4) (6 * 2 + x * 2) + -10x = 3(x + -4) (12 + 2x) + -10x = 3(x + -4) Combine like terms: 2x + -10x = -8x 12 + -8x = 3(x + -4) Reorder the terms: 12 + -8x = 3(-4 + x) 12 + -8x = (-4 * 3 + x * 3) 12 + -8x = (-12 + 3x) Solving 12 + -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. 12 + -8x + -3x = -12 + 3x + -3x Combine like terms: -8x + -3x = -11x 12 + -11x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + -11x = -12 + 0 12 + -11x = -12 Add '-12' to each side of the equation. 12 + -12 + -11x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -11x = -12 + -12 -11x = -12 + -12 Combine like terms: -12 + -12 = -24 -11x = -24 Divide each side by '-11'. x = 2.181818182 Simplifying x = 2.181818182
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