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Simplifying -114 = 5x + 7(-1x + -18) Reorder the terms: -114 = 5x + 7(-18 + -1x) -114 = 5x + (-18 * 7 + -1x * 7) -114 = 5x + (-126 + -7x) Reorder the terms: -114 = -126 + 5x + -7x Combine like terms: 5x + -7x = -2x -114 = -126 + -2x Solving -114 = -126 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -114 + 2x = -126 + -2x + 2x Combine like terms: -2x + 2x = 0 -114 + 2x = -126 + 0 -114 + 2x = -126 Add '114' to each side of the equation. -114 + 114 + 2x = -126 + 114 Combine like terms: -114 + 114 = 0 0 + 2x = -126 + 114 2x = -126 + 114 Combine like terms: -126 + 114 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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