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Simplifying 114 = -7 + 6(5x + -4) Reorder the terms: 114 = -7 + 6(-4 + 5x) 114 = -7 + (-4 * 6 + 5x * 6) 114 = -7 + (-24 + 30x) Combine like terms: -7 + -24 = -31 114 = -31 + 30x Solving 114 = -31 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 114 + -30x = -31 + 30x + -30x Combine like terms: 30x + -30x = 0 114 + -30x = -31 + 0 114 + -30x = -31 Add '-114' to each side of the equation. 114 + -114 + -30x = -31 + -114 Combine like terms: 114 + -114 = 0 0 + -30x = -31 + -114 -30x = -31 + -114 Combine like terms: -31 + -114 = -145 -30x = -145 Divide each side by '-30'. x = 4.833333333 Simplifying x = 4.833333333
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