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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) Combine like terms: -2x + 3x = 1x 30 + 10x = -4(-5 + 1x) 30 + 10x = (-5 * -4 + 1x * -4) 30 + 10x = (20 + -4x) Solving 30 + 10x = 20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 30 + 10x + 4x = 20 + -4x + 4x Combine like terms: 10x + 4x = 14x 30 + 14x = 20 + -4x + 4x Combine like terms: -4x + 4x = 0 30 + 14x = 20 + 0 30 + 14x = 20 Add '-30' to each side of the equation. 30 + -30 + 14x = 20 + -30 Combine like terms: 30 + -30 = 0 0 + 14x = 20 + -30 14x = 20 + -30 Combine like terms: 20 + -30 = -10 14x = -10 Divide each side by '14'. x = -0.7142857143 Simplifying x = -0.7142857143
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