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Simplifying 1 + -4x + -7 = 4x + 10 Reorder the terms: 1 + -7 + -4x = 4x + 10 Combine like terms: 1 + -7 = -6 -6 + -4x = 4x + 10 Reorder the terms: -6 + -4x = 10 + 4x Solving -6 + -4x = 10 + 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. -6 + -4x + -4x = 10 + 4x + -4x Combine like terms: -4x + -4x = -8x -6 + -8x = 10 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + -8x = 10 + 0 -6 + -8x = 10 Add '6' to each side of the equation. -6 + 6 + -8x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + -8x = 10 + 6 -8x = 10 + 6 Combine like terms: 10 + 6 = 16 -8x = 16 Divide each side by '-8'. x = -2 Simplifying x = -2
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