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