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Simplifying 4x + 13 = -2x + 1 Reorder the terms: 13 + 4x = -2x + 1 Reorder the terms: 13 + 4x = 1 + -2x Solving 13 + 4x = 1 + -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. 13 + 4x + 2x = 1 + -2x + 2x Combine like terms: 4x + 2x = 6x 13 + 6x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 6x = 1 + 0 13 + 6x = 1 Add '-13' to each side of the equation. 13 + -13 + 6x = 1 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 1 + -13 6x = 1 + -13 Combine like terms: 1 + -13 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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