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