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Simplifying 5(2x + -8) + -3 = 5(x + -3) + -13 Reorder the terms: 5(-8 + 2x) + -3 = 5(x + -3) + -13 (-8 * 5 + 2x * 5) + -3 = 5(x + -3) + -13 (-40 + 10x) + -3 = 5(x + -3) + -13 Reorder the terms: -40 + -3 + 10x = 5(x + -3) + -13 Combine like terms: -40 + -3 = -43 -43 + 10x = 5(x + -3) + -13 Reorder the terms: -43 + 10x = 5(-3 + x) + -13 -43 + 10x = (-3 * 5 + x * 5) + -13 -43 + 10x = (-15 + 5x) + -13 Reorder the terms: -43 + 10x = -15 + -13 + 5x Combine like terms: -15 + -13 = -28 -43 + 10x = -28 + 5x Solving -43 + 10x = -28 + 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. -43 + 10x + -5x = -28 + 5x + -5x Combine like terms: 10x + -5x = 5x -43 + 5x = -28 + 5x + -5x Combine like terms: 5x + -5x = 0 -43 + 5x = -28 + 0 -43 + 5x = -28 Add '43' to each side of the equation. -43 + 43 + 5x = -28 + 43 Combine like terms: -43 + 43 = 0 0 + 5x = -28 + 43 5x = -28 + 43 Combine like terms: -28 + 43 = 15 5x = 15 Divide each side by '5'. x = 3 Simplifying x = 3
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