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Simplifying 4(x + 5) + -2 = 2(1 + -1x) + 5x Reorder the terms: 4(5 + x) + -2 = 2(1 + -1x) + 5x (5 * 4 + x * 4) + -2 = 2(1 + -1x) + 5x (20 + 4x) + -2 = 2(1 + -1x) + 5x Reorder the terms: 20 + -2 + 4x = 2(1 + -1x) + 5x Combine like terms: 20 + -2 = 18 18 + 4x = 2(1 + -1x) + 5x 18 + 4x = (1 * 2 + -1x * 2) + 5x 18 + 4x = (2 + -2x) + 5x Combine like terms: -2x + 5x = 3x 18 + 4x = 2 + 3x Solving 18 + 4x = 2 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 18 + 4x + -3x = 2 + 3x + -3x Combine like terms: 4x + -3x = 1x 18 + 1x = 2 + 3x + -3x Combine like terms: 3x + -3x = 0 18 + 1x = 2 + 0 18 + 1x = 2 Add '-18' to each side of the equation. 18 + -18 + 1x = 2 + -18 Combine like terms: 18 + -18 = 0 0 + 1x = 2 + -18 1x = 2 + -18 Combine like terms: 2 + -18 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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