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Simplifying 4(4x + -4) + 22 = 14x + -2 Reorder the terms: 4(-4 + 4x) + 22 = 14x + -2 (-4 * 4 + 4x * 4) + 22 = 14x + -2 (-16 + 16x) + 22 = 14x + -2 Reorder the terms: -16 + 22 + 16x = 14x + -2 Combine like terms: -16 + 22 = 6 6 + 16x = 14x + -2 Reorder the terms: 6 + 16x = -2 + 14x Solving 6 + 16x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 16x + -14x = -2 + 14x + -14x Combine like terms: 16x + -14x = 2x 6 + 2x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + 2x = -2 + 0 6 + 2x = -2 Add '-6' to each side of the equation. 6 + -6 + 2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + 2x = -2 + -6 2x = -2 + -6 Combine like terms: -2 + -6 = -8 2x = -8 Divide each side by '2'. x = -4 Simplifying x = -4
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