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Simplifying 114 = -7(6x + -6) + 6x Reorder the terms: 114 = -7(-6 + 6x) + 6x 114 = (-6 * -7 + 6x * -7) + 6x 114 = (42 + -42x) + 6x Combine like terms: -42x + 6x = -36x 114 = 42 + -36x Solving 114 = 42 + -36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36x' to each side of the equation. 114 + 36x = 42 + -36x + 36x Combine like terms: -36x + 36x = 0 114 + 36x = 42 + 0 114 + 36x = 42 Add '-114' to each side of the equation. 114 + -114 + 36x = 42 + -114 Combine like terms: 114 + -114 = 0 0 + 36x = 42 + -114 36x = 42 + -114 Combine like terms: 42 + -114 = -72 36x = -72 Divide each side by '36'. x = -2 Simplifying x = -2
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