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Simplifying -7x + -114 = 38 + x Reorder the terms: -114 + -7x = 38 + x Solving -114 + -7x = 38 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -114 + -7x + -1x = 38 + x + -1x Combine like terms: -7x + -1x = -8x -114 + -8x = 38 + x + -1x Combine like terms: x + -1x = 0 -114 + -8x = 38 + 0 -114 + -8x = 38 Add '114' to each side of the equation. -114 + 114 + -8x = 38 + 114 Combine like terms: -114 + 114 = 0 0 + -8x = 38 + 114 -8x = 38 + 114 Combine like terms: 38 + 114 = 152 -8x = 152 Divide each side by '-8'. x = -19 Simplifying x = -19
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