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Simplifying 5(2x + -3) + -5 = -2(4 + -2x) Reorder the terms: 5(-3 + 2x) + -5 = -2(4 + -2x) (-3 * 5 + 2x * 5) + -5 = -2(4 + -2x) (-15 + 10x) + -5 = -2(4 + -2x) Reorder the terms: -15 + -5 + 10x = -2(4 + -2x) Combine like terms: -15 + -5 = -20 -20 + 10x = -2(4 + -2x) -20 + 10x = (4 * -2 + -2x * -2) -20 + 10x = (-8 + 4x) Solving -20 + 10x = -8 + 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. -20 + 10x + -4x = -8 + 4x + -4x Combine like terms: 10x + -4x = 6x -20 + 6x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -20 + 6x = -8 + 0 -20 + 6x = -8 Add '20' to each side of the equation. -20 + 20 + 6x = -8 + 20 Combine like terms: -20 + 20 = 0 0 + 6x = -8 + 20 6x = -8 + 20 Combine like terms: -8 + 20 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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