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Simplifying 3x + 8 = 3(4x + -5) Reorder the terms: 8 + 3x = 3(4x + -5) Reorder the terms: 8 + 3x = 3(-5 + 4x) 8 + 3x = (-5 * 3 + 4x * 3) 8 + 3x = (-15 + 12x) Solving 8 + 3x = -15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 8 + 3x + -12x = -15 + 12x + -12x Combine like terms: 3x + -12x = -9x 8 + -9x = -15 + 12x + -12x Combine like terms: 12x + -12x = 0 8 + -9x = -15 + 0 8 + -9x = -15 Add '-8' to each side of the equation. 8 + -8 + -9x = -15 + -8 Combine like terms: 8 + -8 = 0 0 + -9x = -15 + -8 -9x = -15 + -8 Combine like terms: -15 + -8 = -23 -9x = -23 Divide each side by '-9'. x = 2.555555556 Simplifying x = 2.555555556
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