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Simplifying 5(x + 3) + 2 = 5(x + -8) + -3x Reorder the terms: 5(3 + x) + 2 = 5(x + -8) + -3x (3 * 5 + x * 5) + 2 = 5(x + -8) + -3x (15 + 5x) + 2 = 5(x + -8) + -3x Reorder the terms: 15 + 2 + 5x = 5(x + -8) + -3x Combine like terms: 15 + 2 = 17 17 + 5x = 5(x + -8) + -3x Reorder the terms: 17 + 5x = 5(-8 + x) + -3x 17 + 5x = (-8 * 5 + x * 5) + -3x 17 + 5x = (-40 + 5x) + -3x Combine like terms: 5x + -3x = 2x 17 + 5x = -40 + 2x Solving 17 + 5x = -40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 17 + 5x + -2x = -40 + 2x + -2x Combine like terms: 5x + -2x = 3x 17 + 3x = -40 + 2x + -2x Combine like terms: 2x + -2x = 0 17 + 3x = -40 + 0 17 + 3x = -40 Add '-17' to each side of the equation. 17 + -17 + 3x = -40 + -17 Combine like terms: 17 + -17 = 0 0 + 3x = -40 + -17 3x = -40 + -17 Combine like terms: -40 + -17 = -57 3x = -57 Divide each side by '3'. x = -19 Simplifying x = -19
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