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Simplifying 3 + 6x + -1x + -9 = -1 + 4(3x + 4) Reorder the terms: 3 + -9 + 6x + -1x = -1 + 4(3x + 4) Combine like terms: 3 + -9 = -6 -6 + 6x + -1x = -1 + 4(3x + 4) Combine like terms: 6x + -1x = 5x -6 + 5x = -1 + 4(3x + 4) Reorder the terms: -6 + 5x = -1 + 4(4 + 3x) -6 + 5x = -1 + (4 * 4 + 3x * 4) -6 + 5x = -1 + (16 + 12x) Combine like terms: -1 + 16 = 15 -6 + 5x = 15 + 12x Solving -6 + 5x = 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. -6 + 5x + -12x = 15 + 12x + -12x Combine like terms: 5x + -12x = -7x -6 + -7x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -6 + -7x = 15 + 0 -6 + -7x = 15 Add '6' to each side of the equation. -6 + 6 + -7x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -7x = 15 + 6 -7x = 15 + 6 Combine like terms: 15 + 6 = 21 -7x = 21 Divide each side by '-7'. x = -3 Simplifying x = -3
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