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Simplifying 3(4x + -5) + -10 + 5 = 5(x + -4) + 4 Reorder the terms: 3(-5 + 4x) + -10 + 5 = 5(x + -4) + 4 (-5 * 3 + 4x * 3) + -10 + 5 = 5(x + -4) + 4 (-15 + 12x) + -10 + 5 = 5(x + -4) + 4 Reorder the terms: -15 + -10 + 5 + 12x = 5(x + -4) + 4 Combine like terms: -15 + -10 = -25 -25 + 5 + 12x = 5(x + -4) + 4 Combine like terms: -25 + 5 = -20 -20 + 12x = 5(x + -4) + 4 Reorder the terms: -20 + 12x = 5(-4 + x) + 4 -20 + 12x = (-4 * 5 + x * 5) + 4 -20 + 12x = (-20 + 5x) + 4 Reorder the terms: -20 + 12x = -20 + 4 + 5x Combine like terms: -20 + 4 = -16 -20 + 12x = -16 + 5x Solving -20 + 12x = -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. -20 + 12x + -5x = -16 + 5x + -5x Combine like terms: 12x + -5x = 7x -20 + 7x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 7x = -16 + 0 -20 + 7x = -16 Add '20' to each side of the equation. -20 + 20 + 7x = -16 + 20 Combine like terms: -20 + 20 = 0 0 + 7x = -16 + 20 7x = -16 + 20 Combine like terms: -16 + 20 = 4 7x = 4 Divide each side by '7'. x = 0.5714285714 Simplifying x = 0.5714285714
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