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Simplifying 3(x + -6) + 2 = 4(x + 2) + -21x Reorder the terms: 3(-6 + x) + 2 = 4(x + 2) + -21x (-6 * 3 + x * 3) + 2 = 4(x + 2) + -21x (-18 + 3x) + 2 = 4(x + 2) + -21x Reorder the terms: -18 + 2 + 3x = 4(x + 2) + -21x Combine like terms: -18 + 2 = -16 -16 + 3x = 4(x + 2) + -21x Reorder the terms: -16 + 3x = 4(2 + x) + -21x -16 + 3x = (2 * 4 + x * 4) + -21x -16 + 3x = (8 + 4x) + -21x Combine like terms: 4x + -21x = -17x -16 + 3x = 8 + -17x Solving -16 + 3x = 8 + -17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17x' to each side of the equation. -16 + 3x + 17x = 8 + -17x + 17x Combine like terms: 3x + 17x = 20x -16 + 20x = 8 + -17x + 17x Combine like terms: -17x + 17x = 0 -16 + 20x = 8 + 0 -16 + 20x = 8 Add '16' to each side of the equation. -16 + 16 + 20x = 8 + 16 Combine like terms: -16 + 16 = 0 0 + 20x = 8 + 16 20x = 8 + 16 Combine like terms: 8 + 16 = 24 20x = 24 Divide each side by '20'. x = 1.2 Simplifying x = 1.2
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