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Simplifying 3x + -4 = 3(3x + 1) + 5 Reorder the terms: -4 + 3x = 3(3x + 1) + 5 Reorder the terms: -4 + 3x = 3(1 + 3x) + 5 -4 + 3x = (1 * 3 + 3x * 3) + 5 -4 + 3x = (3 + 9x) + 5 Reorder the terms: -4 + 3x = 3 + 5 + 9x Combine like terms: 3 + 5 = 8 -4 + 3x = 8 + 9x Solving -4 + 3x = 8 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -4 + 3x + -9x = 8 + 9x + -9x Combine like terms: 3x + -9x = -6x -4 + -6x = 8 + 9x + -9x Combine like terms: 9x + -9x = 0 -4 + -6x = 8 + 0 -4 + -6x = 8 Add '4' to each side of the equation. -4 + 4 + -6x = 8 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 8 + 4 -6x = 8 + 4 Combine like terms: 8 + 4 = 12 -6x = 12 Divide each side by '-6'. x = -2 Simplifying x = -2
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