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Simplifying -151 = 2x + 5(6x + 9) Reorder the terms: -151 = 2x + 5(9 + 6x) -151 = 2x + (9 * 5 + 6x * 5) -151 = 2x + (45 + 30x) Reorder the terms: -151 = 45 + 2x + 30x Combine like terms: 2x + 30x = 32x -151 = 45 + 32x Solving -151 = 45 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. -151 + -32x = 45 + 32x + -32x Combine like terms: 32x + -32x = 0 -151 + -32x = 45 + 0 -151 + -32x = 45 Add '151' to each side of the equation. -151 + 151 + -32x = 45 + 151 Combine like terms: -151 + 151 = 0 0 + -32x = 45 + 151 -32x = 45 + 151 Combine like terms: 45 + 151 = 196 -32x = 196 Divide each side by '-32'. x = -6.125 Simplifying x = -6.125
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