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Simplifying 4x + -4(5x + 4) = 2x + 2 Reorder the terms: 4x + -4(4 + 5x) = 2x + 2 4x + (4 * -4 + 5x * -4) = 2x + 2 4x + (-16 + -20x) = 2x + 2 Reorder the terms: -16 + 4x + -20x = 2x + 2 Combine like terms: 4x + -20x = -16x -16 + -16x = 2x + 2 Reorder the terms: -16 + -16x = 2 + 2x Solving -16 + -16x = 2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -16 + -16x + -2x = 2 + 2x + -2x Combine like terms: -16x + -2x = -18x -16 + -18x = 2 + 2x + -2x Combine like terms: 2x + -2x = 0 -16 + -18x = 2 + 0 -16 + -18x = 2 Add '16' to each side of the equation. -16 + 16 + -18x = 2 + 16 Combine like terms: -16 + 16 = 0 0 + -18x = 2 + 16 -18x = 2 + 16 Combine like terms: 2 + 16 = 18 -18x = 18 Divide each side by '-18'. x = -1 Simplifying x = -1
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