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Simplifying 5(2x + -9) + -2 = 5(x + -5) + 13 Reorder the terms: 5(-9 + 2x) + -2 = 5(x + -5) + 13 (-9 * 5 + 2x * 5) + -2 = 5(x + -5) + 13 (-45 + 10x) + -2 = 5(x + -5) + 13 Reorder the terms: -45 + -2 + 10x = 5(x + -5) + 13 Combine like terms: -45 + -2 = -47 -47 + 10x = 5(x + -5) + 13 Reorder the terms: -47 + 10x = 5(-5 + x) + 13 -47 + 10x = (-5 * 5 + x * 5) + 13 -47 + 10x = (-25 + 5x) + 13 Reorder the terms: -47 + 10x = -25 + 13 + 5x Combine like terms: -25 + 13 = -12 -47 + 10x = -12 + 5x Solving -47 + 10x = -12 + 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 + 10x + -5x = -12 + 5x + -5x Combine like terms: 10x + -5x = 5x -47 + 5x = -12 + 5x + -5x Combine like terms: 5x + -5x = 0 -47 + 5x = -12 + 0 -47 + 5x = -12 Add '47' to each side of the equation. -47 + 47 + 5x = -12 + 47 Combine like terms: -47 + 47 = 0 0 + 5x = -12 + 47 5x = -12 + 47 Combine like terms: -12 + 47 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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