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Simplifying 5x + -2(2x + 1) = 3x + 5 Reorder the terms: 5x + -2(1 + 2x) = 3x + 5 5x + (1 * -2 + 2x * -2) = 3x + 5 5x + (-2 + -4x) = 3x + 5 Reorder the terms: -2 + 5x + -4x = 3x + 5 Combine like terms: 5x + -4x = 1x -2 + 1x = 3x + 5 Reorder the terms: -2 + 1x = 5 + 3x Solving -2 + 1x = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -2 + 1x + -3x = 5 + 3x + -3x Combine like terms: 1x + -3x = -2x -2 + -2x = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 -2 + -2x = 5 + 0 -2 + -2x = 5 Add '2' to each side of the equation. -2 + 2 + -2x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + -2x = 5 + 2 -2x = 5 + 2 Combine like terms: 5 + 2 = 7 -2x = 7 Divide each side by '-2'. x = -3.5 Simplifying x = -3.5
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