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Simplifying 5(x + 6) + -2 = 2x + -5 Reorder the terms: 5(6 + x) + -2 = 2x + -5 (6 * 5 + x * 5) + -2 = 2x + -5 (30 + 5x) + -2 = 2x + -5 Reorder the terms: 30 + -2 + 5x = 2x + -5 Combine like terms: 30 + -2 = 28 28 + 5x = 2x + -5 Reorder the terms: 28 + 5x = -5 + 2x Solving 28 + 5x = -5 + 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. 28 + 5x + -2x = -5 + 2x + -2x Combine like terms: 5x + -2x = 3x 28 + 3x = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 28 + 3x = -5 + 0 28 + 3x = -5 Add '-28' to each side of the equation. 28 + -28 + 3x = -5 + -28 Combine like terms: 28 + -28 = 0 0 + 3x = -5 + -28 3x = -5 + -28 Combine like terms: -5 + -28 = -33 3x = -33 Divide each side by '3'. x = -11 Simplifying x = -11
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