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Simplifying 5(3x + -5) + -2 = 5(x + -5) + 38 Reorder the terms: 5(-5 + 3x) + -2 = 5(x + -5) + 38 (-5 * 5 + 3x * 5) + -2 = 5(x + -5) + 38 (-25 + 15x) + -2 = 5(x + -5) + 38 Reorder the terms: -25 + -2 + 15x = 5(x + -5) + 38 Combine like terms: -25 + -2 = -27 -27 + 15x = 5(x + -5) + 38 Reorder the terms: -27 + 15x = 5(-5 + x) + 38 -27 + 15x = (-5 * 5 + x * 5) + 38 -27 + 15x = (-25 + 5x) + 38 Reorder the terms: -27 + 15x = -25 + 38 + 5x Combine like terms: -25 + 38 = 13 -27 + 15x = 13 + 5x Solving -27 + 15x = 13 + 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. -27 + 15x + -5x = 13 + 5x + -5x Combine like terms: 15x + -5x = 10x -27 + 10x = 13 + 5x + -5x Combine like terms: 5x + -5x = 0 -27 + 10x = 13 + 0 -27 + 10x = 13 Add '27' to each side of the equation. -27 + 27 + 10x = 13 + 27 Combine like terms: -27 + 27 = 0 0 + 10x = 13 + 27 10x = 13 + 27 Combine like terms: 13 + 27 = 40 10x = 40 Divide each side by '10'. x = 4 Simplifying x = 4
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