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Simplifying 5(x + 4) + -16 = 2(x + 3) + -2 Reorder the terms: 5(4 + x) + -16 = 2(x + 3) + -2 (4 * 5 + x * 5) + -16 = 2(x + 3) + -2 (20 + 5x) + -16 = 2(x + 3) + -2 Reorder the terms: 20 + -16 + 5x = 2(x + 3) + -2 Combine like terms: 20 + -16 = 4 4 + 5x = 2(x + 3) + -2 Reorder the terms: 4 + 5x = 2(3 + x) + -2 4 + 5x = (3 * 2 + x * 2) + -2 4 + 5x = (6 + 2x) + -2 Reorder the terms: 4 + 5x = 6 + -2 + 2x Combine like terms: 6 + -2 = 4 4 + 5x = 4 + 2x Add '-4' to each side of the equation. 4 + -4 + 5x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 0 + 5x = 4 + -4 + 2x 5x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 5x = 0 + 2x 5x = 2x Solving 5x = 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. 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x 3x = 2x + -2x Combine like terms: 2x + -2x = 0 3x = 0 Divide each side by '3'. x = 0 Simplifying x = 0
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