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Simplifying 5x + -3 = 3(x + 1) + 2 + -6 Reorder the terms: -3 + 5x = 3(x + 1) + 2 + -6 Reorder the terms: -3 + 5x = 3(1 + x) + 2 + -6 -3 + 5x = (1 * 3 + x * 3) + 2 + -6 -3 + 5x = (3 + 3x) + 2 + -6 Reorder the terms: -3 + 5x = 3 + 2 + -6 + 3x Combine like terms: 3 + 2 = 5 -3 + 5x = 5 + -6 + 3x Combine like terms: 5 + -6 = -1 -3 + 5x = -1 + 3x Solving -3 + 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. -3 + 5x + -3x = -1 + 3x + -3x Combine like terms: 5x + -3x = 2x -3 + 2x = -1 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 2x = -1 + 0 -3 + 2x = -1 Add '3' to each side of the equation. -3 + 3 + 2x = -1 + 3 Combine like terms: -3 + 3 = 0 0 + 2x = -1 + 3 2x = -1 + 3 Combine like terms: -1 + 3 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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