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Simplifying 114 = 5x + 6(-3x + 6) Reorder the terms: 114 = 5x + 6(6 + -3x) 114 = 5x + (6 * 6 + -3x * 6) 114 = 5x + (36 + -18x) Reorder the terms: 114 = 36 + 5x + -18x Combine like terms: 5x + -18x = -13x 114 = 36 + -13x Solving 114 = 36 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 114 + 13x = 36 + -13x + 13x Combine like terms: -13x + 13x = 0 114 + 13x = 36 + 0 114 + 13x = 36 Add '-114' to each side of the equation. 114 + -114 + 13x = 36 + -114 Combine like terms: 114 + -114 = 0 0 + 13x = 36 + -114 13x = 36 + -114 Combine like terms: 36 + -114 = -78 13x = -78 Divide each side by '13'. x = -6 Simplifying x = -6
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