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Simplifying 5(x + -1) + -3 = 1 + 3x Reorder the terms: 5(-1 + x) + -3 = 1 + 3x (-1 * 5 + x * 5) + -3 = 1 + 3x (-5 + 5x) + -3 = 1 + 3x Reorder the terms: -5 + -3 + 5x = 1 + 3x Combine like terms: -5 + -3 = -8 -8 + 5x = 1 + 3x Solving -8 + 5x = 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. -8 + 5x + -3x = 1 + 3x + -3x Combine like terms: 5x + -3x = 2x -8 + 2x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 2x = 1 + 0 -8 + 2x = 1 Add '8' to each side of the equation. -8 + 8 + 2x = 1 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 1 + 8 2x = 1 + 8 Combine like terms: 1 + 8 = 9 2x = 9 Divide each side by '2'. x = 4.5 Simplifying x = 4.5
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