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Simplifying 2x + 15 = 5(x + -8) + 3x Reorder the terms: 15 + 2x = 5(x + -8) + 3x Reorder the terms: 15 + 2x = 5(-8 + x) + 3x 15 + 2x = (-8 * 5 + x * 5) + 3x 15 + 2x = (-40 + 5x) + 3x Combine like terms: 5x + 3x = 8x 15 + 2x = -40 + 8x Solving 15 + 2x = -40 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + 2x + -8x = -40 + 8x + -8x Combine like terms: 2x + -8x = -6x 15 + -6x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -6x = -40 + 0 15 + -6x = -40 Add '-15' to each side of the equation. 15 + -15 + -6x = -40 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -40 + -15 -6x = -40 + -15 Combine like terms: -40 + -15 = -55 -6x = -55 Divide each side by '-6'. x = 9.166666667 Simplifying x = 9.166666667
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