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Simplifying x + 6 = -3x + 7 Reorder the terms: 6 + x = -3x + 7 Reorder the terms: 6 + x = 7 + -3x Solving 6 + x = 7 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 6 + x + 3x = 7 + -3x + 3x Combine like terms: x + 3x = 4x 6 + 4x = 7 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 4x = 7 + 0 6 + 4x = 7 Add '-6' to each side of the equation. 6 + -6 + 4x = 7 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 7 + -6 4x = 7 + -6 Combine like terms: 7 + -6 = 1 4x = 1 Divide each side by '4'. x = 0.25 Simplifying x = 0.25
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