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Simplifying 5(x + 6) + 2 = 16x + -1 Reorder the terms: 5(6 + x) + 2 = 16x + -1 (6 * 5 + x * 5) + 2 = 16x + -1 (30 + 5x) + 2 = 16x + -1 Reorder the terms: 30 + 2 + 5x = 16x + -1 Combine like terms: 30 + 2 = 32 32 + 5x = 16x + -1 Reorder the terms: 32 + 5x = -1 + 16x Solving 32 + 5x = -1 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 32 + 5x + -16x = -1 + 16x + -16x Combine like terms: 5x + -16x = -11x 32 + -11x = -1 + 16x + -16x Combine like terms: 16x + -16x = 0 32 + -11x = -1 + 0 32 + -11x = -1 Add '-32' to each side of the equation. 32 + -32 + -11x = -1 + -32 Combine like terms: 32 + -32 = 0 0 + -11x = -1 + -32 -11x = -1 + -32 Combine like terms: -1 + -32 = -33 -11x = -33 Divide each side by '-11'. x = 3 Simplifying x = 3
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