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Simplifying 2x + -12 + 3x = 4(5x + -5) + 5 Reorder the terms: -12 + 2x + 3x = 4(5x + -5) + 5 Combine like terms: 2x + 3x = 5x -12 + 5x = 4(5x + -5) + 5 Reorder the terms: -12 + 5x = 4(-5 + 5x) + 5 -12 + 5x = (-5 * 4 + 5x * 4) + 5 -12 + 5x = (-20 + 20x) + 5 Reorder the terms: -12 + 5x = -20 + 5 + 20x Combine like terms: -20 + 5 = -15 -12 + 5x = -15 + 20x Solving -12 + 5x = -15 + 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. -12 + 5x + -20x = -15 + 20x + -20x Combine like terms: 5x + -20x = -15x -12 + -15x = -15 + 20x + -20x Combine like terms: 20x + -20x = 0 -12 + -15x = -15 + 0 -12 + -15x = -15 Add '12' to each side of the equation. -12 + 12 + -15x = -15 + 12 Combine like terms: -12 + 12 = 0 0 + -15x = -15 + 12 -15x = -15 + 12 Combine like terms: -15 + 12 = -3 -15x = -3 Divide each side by '-15'. x = 0.2 Simplifying x = 0.2
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