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Simplifying 3(2x + -6) + -22x = 4(3x + -8) Reorder the terms: 3(-6 + 2x) + -22x = 4(3x + -8) (-6 * 3 + 2x * 3) + -22x = 4(3x + -8) (-18 + 6x) + -22x = 4(3x + -8) Combine like terms: 6x + -22x = -16x -18 + -16x = 4(3x + -8) Reorder the terms: -18 + -16x = 4(-8 + 3x) -18 + -16x = (-8 * 4 + 3x * 4) -18 + -16x = (-32 + 12x) Solving -18 + -16x = -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 + -16x + -12x = -32 + 12x + -12x Combine like terms: -16x + -12x = -28x -18 + -28x = -32 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -28x = -32 + 0 -18 + -28x = -32 Add '18' to each side of the equation. -18 + 18 + -28x = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -28x = -32 + 18 -28x = -32 + 18 Combine like terms: -32 + 18 = -14 -28x = -14 Divide each side by '-28'. x = 0.5 Simplifying x = 0.5
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