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Simplifying 22 + -3x = -4(4x + 2) + -4(-3 + -3x) Reorder the terms: 22 + -3x = -4(2 + 4x) + -4(-3 + -3x) 22 + -3x = (2 * -4 + 4x * -4) + -4(-3 + -3x) 22 + -3x = (-8 + -16x) + -4(-3 + -3x) 22 + -3x = -8 + -16x + (-3 * -4 + -3x * -4) 22 + -3x = -8 + -16x + (12 + 12x) Reorder the terms: 22 + -3x = -8 + 12 + -16x + 12x Combine like terms: -8 + 12 = 4 22 + -3x = 4 + -16x + 12x Combine like terms: -16x + 12x = -4x 22 + -3x = 4 + -4x Solving 22 + -3x = 4 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 22 + -3x + 4x = 4 + -4x + 4x Combine like terms: -3x + 4x = 1x 22 + 1x = 4 + -4x + 4x Combine like terms: -4x + 4x = 0 22 + 1x = 4 + 0 22 + 1x = 4 Add '-22' to each side of the equation. 22 + -22 + 1x = 4 + -22 Combine like terms: 22 + -22 = 0 0 + 1x = 4 + -22 1x = 4 + -22 Combine like terms: 4 + -22 = -18 1x = -18 Divide each side by '1'. x = -18 Simplifying x = -18
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