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Simplifying 3(2x + -5) = 5(x + -4) + 5 Reorder the terms: 3(-5 + 2x) = 5(x + -4) + 5 (-5 * 3 + 2x * 3) = 5(x + -4) + 5 (-15 + 6x) = 5(x + -4) + 5 Reorder the terms: -15 + 6x = 5(-4 + x) + 5 -15 + 6x = (-4 * 5 + x * 5) + 5 -15 + 6x = (-20 + 5x) + 5 Reorder the terms: -15 + 6x = -20 + 5 + 5x Combine like terms: -20 + 5 = -15 -15 + 6x = -15 + 5x Add '15' to each side of the equation. -15 + 15 + 6x = -15 + 15 + 5x Combine like terms: -15 + 15 = 0 0 + 6x = -15 + 15 + 5x 6x = -15 + 15 + 5x Combine like terms: -15 + 15 = 0 6x = 0 + 5x 6x = 5x Solving 6x = 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. 6x + -5x = 5x + -5x Combine like terms: 6x + -5x = 1x 1x = 5x + -5x Combine like terms: 5x + -5x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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