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Simplifying 5(x + -4) + 2 = 2(x + 2) + -4 Reorder the terms: 5(-4 + x) + 2 = 2(x + 2) + -4 (-4 * 5 + x * 5) + 2 = 2(x + 2) + -4 (-20 + 5x) + 2 = 2(x + 2) + -4 Reorder the terms: -20 + 2 + 5x = 2(x + 2) + -4 Combine like terms: -20 + 2 = -18 -18 + 5x = 2(x + 2) + -4 Reorder the terms: -18 + 5x = 2(2 + x) + -4 -18 + 5x = (2 * 2 + x * 2) + -4 -18 + 5x = (4 + 2x) + -4 Reorder the terms: -18 + 5x = 4 + -4 + 2x Combine like terms: 4 + -4 = 0 -18 + 5x = 0 + 2x -18 + 5x = 2x Solving -18 + 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. -18 + 5x + -2x = 2x + -2x Combine like terms: 5x + -2x = 3x -18 + 3x = 2x + -2x Combine like terms: 2x + -2x = 0 -18 + 3x = 0 Add '18' to each side of the equation. -18 + 18 + 3x = 0 + 18 Combine like terms: -18 + 18 = 0 0 + 3x = 0 + 18 3x = 0 + 18 Combine like terms: 0 + 18 = 18 3x = 18 Divide each side by '3'. x = 6 Simplifying x = 6
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