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Simplifying 2(5x + -2) = 4(7x + 4) Reorder the terms: 2(-2 + 5x) = 4(7x + 4) (-2 * 2 + 5x * 2) = 4(7x + 4) (-4 + 10x) = 4(7x + 4) Reorder the terms: -4 + 10x = 4(4 + 7x) -4 + 10x = (4 * 4 + 7x * 4) -4 + 10x = (16 + 28x) Solving -4 + 10x = 16 + 28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28x' to each side of the equation. -4 + 10x + -28x = 16 + 28x + -28x Combine like terms: 10x + -28x = -18x -4 + -18x = 16 + 28x + -28x Combine like terms: 28x + -28x = 0 -4 + -18x = 16 + 0 -4 + -18x = 16 Add '4' to each side of the equation. -4 + 4 + -18x = 16 + 4 Combine like terms: -4 + 4 = 0 0 + -18x = 16 + 4 -18x = 16 + 4 Combine like terms: 16 + 4 = 20 -18x = 20 Divide each side by '-18'. x = -1.111111111 Simplifying x = -1.111111111
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