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Simplifying 3(12x + -6) + -22x = 4(3x + -8) Reorder the terms: 3(-6 + 12x) + -22x = 4(3x + -8) (-6 * 3 + 12x * 3) + -22x = 4(3x + -8) (-18 + 36x) + -22x = 4(3x + -8) Combine like terms: 36x + -22x = 14x -18 + 14x = 4(3x + -8) Reorder the terms: -18 + 14x = 4(-8 + 3x) -18 + 14x = (-8 * 4 + 3x * 4) -18 + 14x = (-32 + 12x) Solving -18 + 14x = -32 + 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. -18 + 14x + -12x = -32 + 12x + -12x Combine like terms: 14x + -12x = 2x -18 + 2x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + 2x = -32 + 0 -18 + 2x = -32 Add '18' to each side of the equation. -18 + 18 + 2x = -32 + 18 Combine like terms: -18 + 18 = 0 0 + 2x = -32 + 18 2x = -32 + 18 Combine like terms: -32 + 18 = -14 2x = -14 Divide each side by '2'. x = -7 Simplifying x = -7
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