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Simplifying 5(x + -3) + 2 = 5(2x + -8) + -3 Reorder the terms: 5(-3 + x) + 2 = 5(2x + -8) + -3 (-3 * 5 + x * 5) + 2 = 5(2x + -8) + -3 (-15 + 5x) + 2 = 5(2x + -8) + -3 Reorder the terms: -15 + 2 + 5x = 5(2x + -8) + -3 Combine like terms: -15 + 2 = -13 -13 + 5x = 5(2x + -8) + -3 Reorder the terms: -13 + 5x = 5(-8 + 2x) + -3 -13 + 5x = (-8 * 5 + 2x * 5) + -3 -13 + 5x = (-40 + 10x) + -3 Reorder the terms: -13 + 5x = -40 + -3 + 10x Combine like terms: -40 + -3 = -43 -13 + 5x = -43 + 10x Solving -13 + 5x = -43 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -13 + 5x + -10x = -43 + 10x + -10x Combine like terms: 5x + -10x = -5x -13 + -5x = -43 + 10x + -10x Combine like terms: 10x + -10x = 0 -13 + -5x = -43 + 0 -13 + -5x = -43 Add '13' to each side of the equation. -13 + 13 + -5x = -43 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = -43 + 13 -5x = -43 + 13 Combine like terms: -43 + 13 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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