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Simplifying 5(2x + -1) + -3 = 2(4x + 1) Reorder the terms: 5(-1 + 2x) + -3 = 2(4x + 1) (-1 * 5 + 2x * 5) + -3 = 2(4x + 1) (-5 + 10x) + -3 = 2(4x + 1) Reorder the terms: -5 + -3 + 10x = 2(4x + 1) Combine like terms: -5 + -3 = -8 -8 + 10x = 2(4x + 1) Reorder the terms: -8 + 10x = 2(1 + 4x) -8 + 10x = (1 * 2 + 4x * 2) -8 + 10x = (2 + 8x) Solving -8 + 10x = 2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -8 + 10x + -8x = 2 + 8x + -8x Combine like terms: 10x + -8x = 2x -8 + 2x = 2 + 8x + -8x Combine like terms: 8x + -8x = 0 -8 + 2x = 2 + 0 -8 + 2x = 2 Add '8' to each side of the equation. -8 + 8 + 2x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 2 + 8 2x = 2 + 8 Combine like terms: 2 + 8 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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