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Simplifying 10(2x + 6) = -4(-5 + -2x) + 3x Reorder the terms: 10(6 + 2x) = -4(-5 + -2x) + 3x (6 * 10 + 2x * 10) = -4(-5 + -2x) + 3x (60 + 20x) = -4(-5 + -2x) + 3x 60 + 20x = (-5 * -4 + -2x * -4) + 3x 60 + 20x = (20 + 8x) + 3x Combine like terms: 8x + 3x = 11x 60 + 20x = 20 + 11x Solving 60 + 20x = 20 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 60 + 20x + -11x = 20 + 11x + -11x Combine like terms: 20x + -11x = 9x 60 + 9x = 20 + 11x + -11x Combine like terms: 11x + -11x = 0 60 + 9x = 20 + 0 60 + 9x = 20 Add '-60' to each side of the equation. 60 + -60 + 9x = 20 + -60 Combine like terms: 60 + -60 = 0 0 + 9x = 20 + -60 9x = 20 + -60 Combine like terms: 20 + -60 = -40 9x = -40 Divide each side by '9'. x = -4.444444444 Simplifying x = -4.444444444
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