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Simplifying 5x + 2(x + -3) = 5x + 2(3 + -1x) Reorder the terms: 5x + 2(-3 + x) = 5x + 2(3 + -1x) 5x + (-3 * 2 + x * 2) = 5x + 2(3 + -1x) 5x + (-6 + 2x) = 5x + 2(3 + -1x) Reorder the terms: -6 + 5x + 2x = 5x + 2(3 + -1x) Combine like terms: 5x + 2x = 7x -6 + 7x = 5x + 2(3 + -1x) -6 + 7x = 5x + (3 * 2 + -1x * 2) -6 + 7x = 5x + (6 + -2x) Reorder the terms: -6 + 7x = 6 + 5x + -2x Combine like terms: 5x + -2x = 3x -6 + 7x = 6 + 3x Solving -6 + 7x = 6 + 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. -6 + 7x + -3x = 6 + 3x + -3x Combine like terms: 7x + -3x = 4x -6 + 4x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 4x = 6 + 0 -6 + 4x = 6 Add '6' to each side of the equation. -6 + 6 + 4x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 6 + 6 4x = 6 + 6 Combine like terms: 6 + 6 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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