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Simplifying 5(x + 1) + -2 = 3x + -6 Reorder the terms: 5(1 + x) + -2 = 3x + -6 (1 * 5 + x * 5) + -2 = 3x + -6 (5 + 5x) + -2 = 3x + -6 Reorder the terms: 5 + -2 + 5x = 3x + -6 Combine like terms: 5 + -2 = 3 3 + 5x = 3x + -6 Reorder the terms: 3 + 5x = -6 + 3x Solving 3 + 5x = -6 + 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 = -6 + 3x + -3x Combine like terms: 5x + -3x = 2x 3 + 2x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + 2x = -6 + 0 3 + 2x = -6 Add '-3' to each side of the equation. 3 + -3 + 2x = -6 + -3 Combine like terms: 3 + -3 = 0 0 + 2x = -6 + -3 2x = -6 + -3 Combine like terms: -6 + -3 = -9 2x = -9 Divide each side by '2'. x = -4.5 Simplifying x = -4.5
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