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Simplifying 2(72 + -4) + -4(2x + -6) = 3x + 31 Combine like terms: 72 + -4 = 68 2(68) + -4(2x + -6) = 3x + 31 Multiply 2 * 68 136 + -4(2x + -6) = 3x + 31 Reorder the terms: 136 + -4(-6 + 2x) = 3x + 31 136 + (-6 * -4 + 2x * -4) = 3x + 31 136 + (24 + -8x) = 3x + 31 Combine like terms: 136 + 24 = 160 160 + -8x = 3x + 31 Reorder the terms: 160 + -8x = 31 + 3x Solving 160 + -8x = 31 + 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. 160 + -8x + -3x = 31 + 3x + -3x Combine like terms: -8x + -3x = -11x 160 + -11x = 31 + 3x + -3x Combine like terms: 3x + -3x = 0 160 + -11x = 31 + 0 160 + -11x = 31 Add '-160' to each side of the equation. 160 + -160 + -11x = 31 + -160 Combine like terms: 160 + -160 = 0 0 + -11x = 31 + -160 -11x = 31 + -160 Combine like terms: 31 + -160 = -129 -11x = -129 Divide each side by '-11'. x = 11.72727273 Simplifying x = 11.72727273
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