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Simplifying 4x + -7 = 7x + 1 Reorder the terms: -7 + 4x = 7x + 1 Reorder the terms: -7 + 4x = 1 + 7x Solving -7 + 4x = 1 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -7 + 4x + -7x = 1 + 7x + -7x Combine like terms: 4x + -7x = -3x -7 + -3x = 1 + 7x + -7x Combine like terms: 7x + -7x = 0 -7 + -3x = 1 + 0 -7 + -3x = 1 Add '7' to each side of the equation. -7 + 7 + -3x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + -3x = 1 + 7 -3x = 1 + 7 Combine like terms: 1 + 7 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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