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Simplifying -114 = -6x + 5(-1x + -3) Reorder the terms: -114 = -6x + 5(-3 + -1x) -114 = -6x + (-3 * 5 + -1x * 5) -114 = -6x + (-15 + -5x) Reorder the terms: -114 = -15 + -6x + -5x Combine like terms: -6x + -5x = -11x -114 = -15 + -11x Solving -114 = -15 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. -114 + 11x = -15 + -11x + 11x Combine like terms: -11x + 11x = 0 -114 + 11x = -15 + 0 -114 + 11x = -15 Add '114' to each side of the equation. -114 + 114 + 11x = -15 + 114 Combine like terms: -114 + 114 = 0 0 + 11x = -15 + 114 11x = -15 + 114 Combine like terms: -15 + 114 = 99 11x = 99 Divide each side by '11'. x = 9 Simplifying x = 9
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