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