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Simplifying 22 + -3x + 7x = -2(-4x + 1) Combine like terms: -3x + 7x = 4x 22 + 4x = -2(-4x + 1) Reorder the terms: 22 + 4x = -2(1 + -4x) 22 + 4x = (1 * -2 + -4x * -2) 22 + 4x = (-2 + 8x) Solving 22 + 4x = -2 + 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. 22 + 4x + -8x = -2 + 8x + -8x Combine like terms: 4x + -8x = -4x 22 + -4x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 22 + -4x = -2 + 0 22 + -4x = -2 Add '-22' to each side of the equation. 22 + -22 + -4x = -2 + -22 Combine like terms: 22 + -22 = 0 0 + -4x = -2 + -22 -4x = -2 + -22 Combine like terms: -2 + -22 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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