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Simplifying 4(4x + -1) + -2 = 14x + 2 Reorder the terms: 4(-1 + 4x) + -2 = 14x + 2 (-1 * 4 + 4x * 4) + -2 = 14x + 2 (-4 + 16x) + -2 = 14x + 2 Reorder the terms: -4 + -2 + 16x = 14x + 2 Combine like terms: -4 + -2 = -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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