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Simplifying 114 = -6x + -7(-4x + 12) Reorder the terms: 114 = -6x + -7(12 + -4x) 114 = -6x + (12 * -7 + -4x * -7) 114 = -6x + (-84 + 28x) Reorder the terms: 114 = -84 + -6x + 28x Combine like terms: -6x + 28x = 22x 114 = -84 + 22x Solving 114 = -84 + 22x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22x' to each side of the equation. 114 + -22x = -84 + 22x + -22x Combine like terms: 22x + -22x = 0 114 + -22x = -84 + 0 114 + -22x = -84 Add '-114' to each side of the equation. 114 + -114 + -22x = -84 + -114 Combine like terms: 114 + -114 = 0 0 + -22x = -84 + -114 -22x = -84 + -114 Combine like terms: -84 + -114 = -198 -22x = -198 Divide each side by '-22'. x = 9 Simplifying x = 9
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