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Simplifying 6x + -7 + 8x = -7 + 4x + 10 Reorder the terms: -7 + 6x + 8x = -7 + 4x + 10 Combine like terms: 6x + 8x = 14x -7 + 14x = -7 + 4x + 10 Reorder the terms: -7 + 14x = -7 + 10 + 4x Combine like terms: -7 + 10 = 3 -7 + 14x = 3 + 4x Solving -7 + 14x = 3 + 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 + 14x + -4x = 3 + 4x + -4x Combine like terms: 14x + -4x = 10x -7 + 10x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 10x = 3 + 0 -7 + 10x = 3 Add '7' to each side of the equation. -7 + 7 + 10x = 3 + 7 Combine like terms: -7 + 7 = 0 0 + 10x = 3 + 7 10x = 3 + 7 Combine like terms: 3 + 7 = 10 10x = 10 Divide each side by '10'. x = 1 Simplifying x = 1
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