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Simplifying 2(5x + -4) = 4(7x + 3) Reorder the terms: 2(-4 + 5x) = 4(7x + 3) (-4 * 2 + 5x * 2) = 4(7x + 3) (-8 + 10x) = 4(7x + 3) Reorder the terms: -8 + 10x = 4(3 + 7x) -8 + 10x = (3 * 4 + 7x * 4) -8 + 10x = (12 + 28x) Solving -8 + 10x = 12 + 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. -8 + 10x + -28x = 12 + 28x + -28x Combine like terms: 10x + -28x = -18x -8 + -18x = 12 + 28x + -28x Combine like terms: 28x + -28x = 0 -8 + -18x = 12 + 0 -8 + -18x = 12 Add '8' to each side of the equation. -8 + 8 + -18x = 12 + 8 Combine like terms: -8 + 8 = 0 0 + -18x = 12 + 8 -18x = 12 + 8 Combine like terms: 12 + 8 = 20 -18x = 20 Divide each side by '-18'. x = -1.111111111 Simplifying x = -1.111111111
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