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Simplifying 3x + -8 = 4(5 + -3x) + 9 Reorder the terms: -8 + 3x = 4(5 + -3x) + 9 -8 + 3x = (5 * 4 + -3x * 4) + 9 -8 + 3x = (20 + -12x) + 9 Reorder the terms: -8 + 3x = 20 + 9 + -12x Combine like terms: 20 + 9 = 29 -8 + 3x = 29 + -12x Solving -8 + 3x = 29 + -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 = 29 + -12x + 12x Combine like terms: 3x + 12x = 15x -8 + 15x = 29 + -12x + 12x Combine like terms: -12x + 12x = 0 -8 + 15x = 29 + 0 -8 + 15x = 29 Add '8' to each side of the equation. -8 + 8 + 15x = 29 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 29 + 8 15x = 29 + 8 Combine like terms: 29 + 8 = 37 15x = 37 Divide each side by '15'. x = 2.466666667 Simplifying x = 2.466666667
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