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Simplifying 2x + -32 = 5(4x + 2) + -6 Reorder the terms: -32 + 2x = 5(4x + 2) + -6 Reorder the terms: -32 + 2x = 5(2 + 4x) + -6 -32 + 2x = (2 * 5 + 4x * 5) + -6 -32 + 2x = (10 + 20x) + -6 Reorder the terms: -32 + 2x = 10 + -6 + 20x Combine like terms: 10 + -6 = 4 -32 + 2x = 4 + 20x Solving -32 + 2x = 4 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -32 + 2x + -20x = 4 + 20x + -20x Combine like terms: 2x + -20x = -18x -32 + -18x = 4 + 20x + -20x Combine like terms: 20x + -20x = 0 -32 + -18x = 4 + 0 -32 + -18x = 4 Add '32' to each side of the equation. -32 + 32 + -18x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + -18x = 4 + 32 -18x = 4 + 32 Combine like terms: 4 + 32 = 36 -18x = 36 Divide each side by '-18'. x = -2 Simplifying x = -2
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