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Simplifying 5(2x + -1) + 3 = 2(x + 5) Reorder the terms: 5(-1 + 2x) + 3 = 2(x + 5) (-1 * 5 + 2x * 5) + 3 = 2(x + 5) (-5 + 10x) + 3 = 2(x + 5) Reorder the terms: -5 + 3 + 10x = 2(x + 5) Combine like terms: -5 + 3 = -2 -2 + 10x = 2(x + 5) Reorder the terms: -2 + 10x = 2(5 + x) -2 + 10x = (5 * 2 + x * 2) -2 + 10x = (10 + 2x) Solving -2 + 10x = 10 + 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. -2 + 10x + -2x = 10 + 2x + -2x Combine like terms: 10x + -2x = 8x -2 + 8x = 10 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + 8x = 10 + 0 -2 + 8x = 10 Add '2' to each side of the equation. -2 + 2 + 8x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 8x = 10 + 2 8x = 10 + 2 Combine like terms: 10 + 2 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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