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Simplifying 3x + 8 = 5(x + -5) + 6 Reorder the terms: 8 + 3x = 5(x + -5) + 6 Reorder the terms: 8 + 3x = 5(-5 + x) + 6 8 + 3x = (-5 * 5 + x * 5) + 6 8 + 3x = (-25 + 5x) + 6 Reorder the terms: 8 + 3x = -25 + 6 + 5x Combine like terms: -25 + 6 = -19 8 + 3x = -19 + 5x Solving 8 + 3x = -19 + 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. 8 + 3x + -5x = -19 + 5x + -5x Combine like terms: 3x + -5x = -2x 8 + -2x = -19 + 5x + -5x Combine like terms: 5x + -5x = 0 8 + -2x = -19 + 0 8 + -2x = -19 Add '-8' to each side of the equation. 8 + -8 + -2x = -19 + -8 Combine like terms: 8 + -8 = 0 0 + -2x = -19 + -8 -2x = -19 + -8 Combine like terms: -19 + -8 = -27 -2x = -27 Divide each side by '-2'. x = 13.5 Simplifying x = 13.5
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