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Simplifying 2(4x + -5) = 5 + 2(3 + -1x) Reorder the terms: 2(-5 + 4x) = 5 + 2(3 + -1x) (-5 * 2 + 4x * 2) = 5 + 2(3 + -1x) (-10 + 8x) = 5 + 2(3 + -1x) -10 + 8x = 5 + (3 * 2 + -1x * 2) -10 + 8x = 5 + (6 + -2x) Combine like terms: 5 + 6 = 11 -10 + 8x = 11 + -2x Solving -10 + 8x = 11 + -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. -10 + 8x + 2x = 11 + -2x + 2x Combine like terms: 8x + 2x = 10x -10 + 10x = 11 + -2x + 2x Combine like terms: -2x + 2x = 0 -10 + 10x = 11 + 0 -10 + 10x = 11 Add '10' to each side of the equation. -10 + 10 + 10x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 10x = 11 + 10 10x = 11 + 10 Combine like terms: 11 + 10 = 21 10x = 21 Divide each side by '10'. x = 2.1 Simplifying x = 2.1
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