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Simplifying 5(2x + 1) + -2 = 6x + 5 Reorder the terms: 5(1 + 2x) + -2 = 6x + 5 (1 * 5 + 2x * 5) + -2 = 6x + 5 (5 + 10x) + -2 = 6x + 5 Reorder the terms: 5 + -2 + 10x = 6x + 5 Combine like terms: 5 + -2 = 3 3 + 10x = 6x + 5 Reorder the terms: 3 + 10x = 5 + 6x Solving 3 + 10x = 5 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 3 + 10x + -6x = 5 + 6x + -6x Combine like terms: 10x + -6x = 4x 3 + 4x = 5 + 6x + -6x Combine like terms: 6x + -6x = 0 3 + 4x = 5 + 0 3 + 4x = 5 Add '-3' to each side of the equation. 3 + -3 + 4x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 5 + -3 4x = 5 + -3 Combine like terms: 5 + -3 = 2 4x = 2 Divide each side by '4'. x = 0.5 Simplifying x = 0.5
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