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Simplifying 5(x + -1) + 3 = 3x + 2(3x + 1) Reorder the terms: 5(-1 + x) + 3 = 3x + 2(3x + 1) (-1 * 5 + x * 5) + 3 = 3x + 2(3x + 1) (-5 + 5x) + 3 = 3x + 2(3x + 1) Reorder the terms: -5 + 3 + 5x = 3x + 2(3x + 1) Combine like terms: -5 + 3 = -2 -2 + 5x = 3x + 2(3x + 1) Reorder the terms: -2 + 5x = 3x + 2(1 + 3x) -2 + 5x = 3x + (1 * 2 + 3x * 2) -2 + 5x = 3x + (2 + 6x) Reorder the terms: -2 + 5x = 2 + 3x + 6x Combine like terms: 3x + 6x = 9x -2 + 5x = 2 + 9x Solving -2 + 5x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + 5x + -9x = 2 + 9x + -9x Combine like terms: 5x + -9x = -4x -2 + -4x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -4x = 2 + 0 -2 + -4x = 2 Add '2' to each side of the equation. -2 + 2 + -4x = 2 + 2 Combine like terms: -2 + 2 = 0 0 + -4x = 2 + 2 -4x = 2 + 2 Combine like terms: 2 + 2 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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