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Simplifying 5(2x + 6) = -4(-5 + -6x) + 3x Reorder the terms: 5(6 + 2x) = -4(-5 + -6x) + 3x (6 * 5 + 2x * 5) = -4(-5 + -6x) + 3x (30 + 10x) = -4(-5 + -6x) + 3x 30 + 10x = (-5 * -4 + -6x * -4) + 3x 30 + 10x = (20 + 24x) + 3x Combine like terms: 24x + 3x = 27x 30 + 10x = 20 + 27x Solving 30 + 10x = 20 + 27x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27x' to each side of the equation. 30 + 10x + -27x = 20 + 27x + -27x Combine like terms: 10x + -27x = -17x 30 + -17x = 20 + 27x + -27x Combine like terms: 27x + -27x = 0 30 + -17x = 20 + 0 30 + -17x = 20 Add '-30' to each side of the equation. 30 + -30 + -17x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + -17x = 20 + -30 -17x = 20 + -30 Combine like terms: 20 + -30 = -10 -17x = -10 Divide each side by '-17'. x = 0.5882352941 Simplifying x = 0.5882352941
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