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