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Simplifying -15 + -4x + 8 = 14x + 1 + -10x Reorder the terms: -15 + 8 + -4x = 14x + 1 + -10x Combine like terms: -15 + 8 = -7 -7 + -4x = 14x + 1 + -10x Reorder the terms: -7 + -4x = 1 + 14x + -10x Combine like terms: 14x + -10x = 4x -7 + -4x = 1 + 4x Solving -7 + -4x = 1 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + -4x + -4x = 1 + 4x + -4x Combine like terms: -4x + -4x = -8x -7 + -8x = 1 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + -8x = 1 + 0 -7 + -8x = 1 Add '7' to each side of the equation. -7 + 7 + -8x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -8x = 1 + 7 -8x = 1 + 7 Combine like terms: 1 + 7 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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