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Simplifying 4x + -7 = 3x + 6 + -1x Reorder the terms: -7 + 4x = 3x + 6 + -1x Reorder the terms: -7 + 4x = 6 + 3x + -1x Combine like terms: 3x + -1x = 2x -7 + 4x = 6 + 2x Solving -7 + 4x = 6 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -7 + 4x + -2x = 6 + 2x + -2x Combine like terms: 4x + -2x = 2x -7 + 2x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 -7 + 2x = 6 + 0 -7 + 2x = 6 Add '7' to each side of the equation. -7 + 7 + 2x = 6 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 6 + 7 2x = 6 + 7 Combine like terms: 6 + 7 = 13 2x = 13 Divide each side by '2'. x = 6.5 Simplifying x = 6.5
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