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Simplifying 5x + -60 + -3x = 3(-4x + 15) + -2 Reorder the terms: -60 + 5x + -3x = 3(-4x + 15) + -2 Combine like terms: 5x + -3x = 2x -60 + 2x = 3(-4x + 15) + -2 Reorder the terms: -60 + 2x = 3(15 + -4x) + -2 -60 + 2x = (15 * 3 + -4x * 3) + -2 -60 + 2x = (45 + -12x) + -2 Reorder the terms: -60 + 2x = 45 + -2 + -12x Combine like terms: 45 + -2 = 43 -60 + 2x = 43 + -12x Solving -60 + 2x = 43 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -60 + 2x + 12x = 43 + -12x + 12x Combine like terms: 2x + 12x = 14x -60 + 14x = 43 + -12x + 12x Combine like terms: -12x + 12x = 0 -60 + 14x = 43 + 0 -60 + 14x = 43 Add '60' to each side of the equation. -60 + 60 + 14x = 43 + 60 Combine like terms: -60 + 60 = 0 0 + 14x = 43 + 60 14x = 43 + 60 Combine like terms: 43 + 60 = 103 14x = 103 Divide each side by '14'. x = 7.357142857 Simplifying x = 7.357142857
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