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Simplifying 5(3x + -9) + -2 = 5(x + -2) + 13 Reorder the terms: 5(-9 + 3x) + -2 = 5(x + -2) + 13 (-9 * 5 + 3x * 5) + -2 = 5(x + -2) + 13 (-45 + 15x) + -2 = 5(x + -2) + 13 Reorder the terms: -45 + -2 + 15x = 5(x + -2) + 13 Combine like terms: -45 + -2 = -47 -47 + 15x = 5(x + -2) + 13 Reorder the terms: -47 + 15x = 5(-2 + x) + 13 -47 + 15x = (-2 * 5 + x * 5) + 13 -47 + 15x = (-10 + 5x) + 13 Reorder the terms: -47 + 15x = -10 + 13 + 5x Combine like terms: -10 + 13 = 3 -47 + 15x = 3 + 5x Solving -47 + 15x = 3 + 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. -47 + 15x + -5x = 3 + 5x + -5x Combine like terms: 15x + -5x = 10x -47 + 10x = 3 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 10x = 3 + 0 -47 + 10x = 3 Add '47' to each side of the equation. -47 + 47 + 10x = 3 + 47 Combine like terms: -47 + 47 = 0 0 + 10x = 3 + 47 10x = 3 + 47 Combine like terms: 3 + 47 = 50 10x = 50 Divide each side by '10'. x = 5 Simplifying x = 5
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