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Simplifying 6(3x + -8) = 17 + 5x Reorder the terms: 6(-8 + 3x) = 17 + 5x (-8 * 6 + 3x * 6) = 17 + 5x (-48 + 18x) = 17 + 5x Solving -48 + 18x = 17 + 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. -48 + 18x + -5x = 17 + 5x + -5x Combine like terms: 18x + -5x = 13x -48 + 13x = 17 + 5x + -5x Combine like terms: 5x + -5x = 0 -48 + 13x = 17 + 0 -48 + 13x = 17 Add '48' to each side of the equation. -48 + 48 + 13x = 17 + 48 Combine like terms: -48 + 48 = 0 0 + 13x = 17 + 48 13x = 17 + 48 Combine like terms: 17 + 48 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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