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Simplifying x + 6 = -3x + 13 Reorder the terms: 6 + x = -3x + 13 Reorder the terms: 6 + x = 13 + -3x Solving 6 + x = 13 + -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 = 13 + -3x + 3x Combine like terms: x + 3x = 4x 6 + 4x = 13 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + 4x = 13 + 0 6 + 4x = 13 Add '-6' to each side of the equation. 6 + -6 + 4x = 13 + -6 Combine like terms: 6 + -6 = 0 0 + 4x = 13 + -6 4x = 13 + -6 Combine like terms: 13 + -6 = 7 4x = 7 Divide each side by '4'. x = 1.75 Simplifying x = 1.75
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