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Simplifying 114 = -4x + -6(-2x + -7) Reorder the terms: 114 = -4x + -6(-7 + -2x) 114 = -4x + (-7 * -6 + -2x * -6) 114 = -4x + (42 + 12x) Reorder the terms: 114 = 42 + -4x + 12x Combine like terms: -4x + 12x = 8x 114 = 42 + 8x Solving 114 = 42 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 114 + -8x = 42 + 8x + -8x Combine like terms: 8x + -8x = 0 114 + -8x = 42 + 0 114 + -8x = 42 Add '-114' to each side of the equation. 114 + -114 + -8x = 42 + -114 Combine like terms: 114 + -114 = 0 0 + -8x = 42 + -114 -8x = 42 + -114 Combine like terms: 42 + -114 = -72 -8x = -72 Divide each side by '-8'. x = 9 Simplifying x = 9
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