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Simplifying 3x + -15 + 5x = 5(4x + -4) + 2 Reorder the terms: -15 + 3x + 5x = 5(4x + -4) + 2 Combine like terms: 3x + 5x = 8x -15 + 8x = 5(4x + -4) + 2 Reorder the terms: -15 + 8x = 5(-4 + 4x) + 2 -15 + 8x = (-4 * 5 + 4x * 5) + 2 -15 + 8x = (-20 + 20x) + 2 Reorder the terms: -15 + 8x = -20 + 2 + 20x Combine like terms: -20 + 2 = -18 -15 + 8x = -18 + 20x Solving -15 + 8x = -18 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -15 + 8x + -20x = -18 + 20x + -20x Combine like terms: 8x + -20x = -12x -15 + -12x = -18 + 20x + -20x Combine like terms: 20x + -20x = 0 -15 + -12x = -18 + 0 -15 + -12x = -18 Add '15' to each side of the equation. -15 + 15 + -12x = -18 + 15 Combine like terms: -15 + 15 = 0 0 + -12x = -18 + 15 -12x = -18 + 15 Combine like terms: -18 + 15 = -3 -12x = -3 Divide each side by '-12'. x = 0.25 Simplifying x = 0.25
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