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Simplifying 5x + -2x + 13 = x + 1 Reorder the terms: 13 + 5x + -2x = x + 1 Combine like terms: 5x + -2x = 3x 13 + 3x = x + 1 Reorder the terms: 13 + 3x = 1 + x Solving 13 + 3x = 1 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 13 + 3x + -1x = 1 + x + -1x Combine like terms: 3x + -1x = 2x 13 + 2x = 1 + x + -1x Combine like terms: x + -1x = 0 13 + 2x = 1 + 0 13 + 2x = 1 Add '-13' to each side of the equation. 13 + -13 + 2x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = 1 + -13 2x = 1 + -13 Combine like terms: 1 + -13 = -12 2x = -12 Divide each side by '2'. x = -6 Simplifying x = -6
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