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Simplifying -114 + -7x = 8x + 21 Reorder the terms: -114 + -7x = 21 + 8x Solving -114 + -7x = 21 + 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 + -7x + -8x = 21 + 8x + -8x Combine like terms: -7x + -8x = -15x -114 + -15x = 21 + 8x + -8x Combine like terms: 8x + -8x = 0 -114 + -15x = 21 + 0 -114 + -15x = 21 Add '114' to each side of the equation. -114 + 114 + -15x = 21 + 114 Combine like terms: -114 + 114 = 0 0 + -15x = 21 + 114 -15x = 21 + 114 Combine like terms: 21 + 114 = 135 -15x = 135 Divide each side by '-15'. x = -9 Simplifying x = -9
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