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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 = 6x 30 + 6x = -20 + 4x + -4x Combine like terms: 4x + -4x = 0 30 + 6x = -20 + 0 30 + 6x = -20 Add '-30' to each side of the equation. 30 + -30 + 6x = -20 + -30 Combine like terms: 30 + -30 = 0 0 + 6x = -20 + -30 6x = -20 + -30 Combine like terms: -20 + -30 = -50 6x = -50 Divide each side by '6'. x = -8.333333333 Simplifying x = -8.333333333
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