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Simplifying 6x + 1 + -3x = 4x + -7 + x Reorder the terms: 1 + 6x + -3x = 4x + -7 + x Combine like terms: 6x + -3x = 3x 1 + 3x = 4x + -7 + x Reorder the terms: 1 + 3x = -7 + 4x + x Combine like terms: 4x + x = 5x 1 + 3x = -7 + 5x Solving 1 + 3x = -7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 1 + 3x + -5x = -7 + 5x + -5x Combine like terms: 3x + -5x = -2x 1 + -2x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 1 + -2x = -7 + 0 1 + -2x = -7 Add '-1' to each side of the equation. 1 + -1 + -2x = -7 + -1 Combine like terms: 1 + -1 = 0 0 + -2x = -7 + -1 -2x = -7 + -1 Combine like terms: -7 + -1 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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