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Simplifying 2x + 14 = 5(x + -8) + 3x Reorder the terms: 14 + 2x = 5(x + -8) + 3x Reorder the terms: 14 + 2x = 5(-8 + x) + 3x 14 + 2x = (-8 * 5 + x * 5) + 3x 14 + 2x = (-40 + 5x) + 3x Combine like terms: 5x + 3x = 8x 14 + 2x = -40 + 8x Solving 14 + 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. 14 + 2x + -8x = -40 + 8x + -8x Combine like terms: 2x + -8x = -6x 14 + -6x = -40 + 8x + -8x Combine like terms: 8x + -8x = 0 14 + -6x = -40 + 0 14 + -6x = -40 Add '-14' to each side of the equation. 14 + -14 + -6x = -40 + -14 Combine like terms: 14 + -14 = 0 0 + -6x = -40 + -14 -6x = -40 + -14 Combine like terms: -40 + -14 = -54 -6x = -54 Divide each side by '-6'. x = 9 Simplifying x = 9
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