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Simplifying 5(2x + 6) = -4(-5 + 2x) + 3x Reorder the terms: 5(6 + 2x) = -4(-5 + 2x) + 3x (6 * 5 + 2x * 5) = -4(-5 + 2x) + 3x (30 + 10x) = -4(-5 + 2x) + 3x 30 + 10x = (-5 * -4 + 2x * -4) + 3x 30 + 10x = (20 + -8x) + 3x Combine like terms: -8x + 3x = -5x 30 + 10x = 20 + -5x Solving 30 + 10x = 20 + -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. 30 + 10x + 5x = 20 + -5x + 5x Combine like terms: 10x + 5x = 15x 30 + 15x = 20 + -5x + 5x Combine like terms: -5x + 5x = 0 30 + 15x = 20 + 0 30 + 15x = 20 Add '-30' to each side of the equation. 30 + -30 + 15x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 15x = 20 + -30 15x = 20 + -30 Combine like terms: 20 + -30 = -10 15x = -10 Divide each side by '15'. x = -0.6666666667 Simplifying x = -0.6666666667
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