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Simplifying 151 = 7x + -6(-4x + 11) Reorder the terms: 151 = 7x + -6(11 + -4x) 151 = 7x + (11 * -6 + -4x * -6) 151 = 7x + (-66 + 24x) Reorder the terms: 151 = -66 + 7x + 24x Combine like terms: 7x + 24x = 31x 151 = -66 + 31x Solving 151 = -66 + 31x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-31x' to each side of the equation. 151 + -31x = -66 + 31x + -31x Combine like terms: 31x + -31x = 0 151 + -31x = -66 + 0 151 + -31x = -66 Add '-151' to each side of the equation. 151 + -151 + -31x = -66 + -151 Combine like terms: 151 + -151 = 0 0 + -31x = -66 + -151 -31x = -66 + -151 Combine like terms: -66 + -151 = -217 -31x = -217 Divide each side by '-31'. x = 7 Simplifying x = 7
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