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Simplifying 3x + -4 = 4(2x + 9) Reorder the terms: -4 + 3x = 4(2x + 9) Reorder the terms: -4 + 3x = 4(9 + 2x) -4 + 3x = (9 * 4 + 2x * 4) -4 + 3x = (36 + 8x) Solving -4 + 3x = 36 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -4 + 3x + -8x = 36 + 8x + -8x Combine like terms: 3x + -8x = -5x -4 + -5x = 36 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -5x = 36 + 0 -4 + -5x = 36 Add '4' to each side of the equation. -4 + 4 + -5x = 36 + 4 Combine like terms: -4 + 4 = 0 0 + -5x = 36 + 4 -5x = 36 + 4 Combine like terms: 36 + 4 = 40 -5x = 40 Divide each side by '-5'. x = -8 Simplifying x = -8
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