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Simplifying 5(x + -1) + 3x = 13 + 2x Reorder the terms: 5(-1 + x) + 3x = 13 + 2x (-1 * 5 + x * 5) + 3x = 13 + 2x (-5 + 5x) + 3x = 13 + 2x Combine like terms: 5x + 3x = 8x -5 + 8x = 13 + 2x Solving -5 + 8x = 13 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -5 + 8x + -2x = 13 + 2x + -2x Combine like terms: 8x + -2x = 6x -5 + 6x = 13 + 2x + -2x Combine like terms: 2x + -2x = 0 -5 + 6x = 13 + 0 -5 + 6x = 13 Add '5' to each side of the equation. -5 + 5 + 6x = 13 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 13 + 5 6x = 13 + 5 Combine like terms: 13 + 5 = 18 6x = 18 Divide each side by '6'. x = 3 Simplifying x = 3
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