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Simplifying 114 = 6x + 5(-3x + 12) Reorder the terms: 114 = 6x + 5(12 + -3x) 114 = 6x + (12 * 5 + -3x * 5) 114 = 6x + (60 + -15x) Reorder the terms: 114 = 60 + 6x + -15x Combine like terms: 6x + -15x = -9x 114 = 60 + -9x Solving 114 = 60 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 114 + 9x = 60 + -9x + 9x Combine like terms: -9x + 9x = 0 114 + 9x = 60 + 0 114 + 9x = 60 Add '-114' to each side of the equation. 114 + -114 + 9x = 60 + -114 Combine like terms: 114 + -114 = 0 0 + 9x = 60 + -114 9x = 60 + -114 Combine like terms: 60 + -114 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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