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Simplifying 40 + -2(10 + 3x) = 3(x + -4) + -2(3 + -1x) 40 + (10 * -2 + 3x * -2) = 3(x + -4) + -2(3 + -1x) 40 + (-20 + -6x) = 3(x + -4) + -2(3 + -1x) Combine like terms: 40 + -20 = 20 20 + -6x = 3(x + -4) + -2(3 + -1x) Reorder the terms: 20 + -6x = 3(-4 + x) + -2(3 + -1x) 20 + -6x = (-4 * 3 + x * 3) + -2(3 + -1x) 20 + -6x = (-12 + 3x) + -2(3 + -1x) 20 + -6x = -12 + 3x + (3 * -2 + -1x * -2) 20 + -6x = -12 + 3x + (-6 + 2x) Reorder the terms: 20 + -6x = -12 + -6 + 3x + 2x Combine like terms: -12 + -6 = -18 20 + -6x = -18 + 3x + 2x Combine like terms: 3x + 2x = 5x 20 + -6x = -18 + 5x Solving 20 + -6x = -18 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 20 + -6x + -5x = -18 + 5x + -5x Combine like terms: -6x + -5x = -11x 20 + -11x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 20 + -11x = -18 + 0 20 + -11x = -18 Add '-20' to each side of the equation. 20 + -20 + -11x = -18 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -18 + -20 -11x = -18 + -20 Combine like terms: -18 + -20 = -38 -11x = -38 Divide each side by '-11'. x = 3.454545455 Simplifying x = 3.454545455
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