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Simplifying 3(2x + -5) = 5(x + -4) + 4 Reorder the terms: 3(-5 + 2x) = 5(x + -4) + 4 (-5 * 3 + 2x * 3) = 5(x + -4) + 4 (-15 + 6x) = 5(x + -4) + 4 Reorder the terms: -15 + 6x = 5(-4 + x) + 4 -15 + 6x = (-4 * 5 + x * 5) + 4 -15 + 6x = (-20 + 5x) + 4 Reorder the terms: -15 + 6x = -20 + 4 + 5x Combine like terms: -20 + 4 = -16 -15 + 6x = -16 + 5x Solving -15 + 6x = -16 + 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. -15 + 6x + -5x = -16 + 5x + -5x Combine like terms: 6x + -5x = 1x -15 + 1x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -15 + 1x = -16 + 0 -15 + 1x = -16 Add '15' to each side of the equation. -15 + 15 + 1x = -16 + 15 Combine like terms: -15 + 15 = 0 0 + 1x = -16 + 15 1x = -16 + 15 Combine like terms: -16 + 15 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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