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Simplifying 5x + -2(3 + x) = 2x + 1 5x + (3 * -2 + x * -2) = 2x + 1 5x + (-6 + -2x) = 2x + 1 Reorder the terms: -6 + 5x + -2x = 2x + 1 Combine like terms: 5x + -2x = 3x -6 + 3x = 2x + 1 Reorder the terms: -6 + 3x = 1 + 2x Solving -6 + 3x = 1 + 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. -6 + 3x + -2x = 1 + 2x + -2x Combine like terms: 3x + -2x = 1x -6 + 1x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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