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Simplifying -114 = -2x + 2(-3x + -13) Reorder the terms: -114 = -2x + 2(-13 + -3x) -114 = -2x + (-13 * 2 + -3x * 2) -114 = -2x + (-26 + -6x) Reorder the terms: -114 = -26 + -2x + -6x Combine like terms: -2x + -6x = -8x -114 = -26 + -8x Solving -114 = -26 + -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 = -26 + -8x + 8x Combine like terms: -8x + 8x = 0 -114 + 8x = -26 + 0 -114 + 8x = -26 Add '114' to each side of the equation. -114 + 114 + 8x = -26 + 114 Combine like terms: -114 + 114 = 0 0 + 8x = -26 + 114 8x = -26 + 114 Combine like terms: -26 + 114 = 88 8x = 88 Divide each side by '8'. x = 11 Simplifying x = 11
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