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Simplifying 4x + 13 = -2x + 49 Reorder the terms: 13 + 4x = -2x + 49 Reorder the terms: 13 + 4x = 49 + -2x Solving 13 + 4x = 49 + -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 = 49 + -2x + 2x Combine like terms: 4x + 2x = 6x 13 + 6x = 49 + -2x + 2x Combine like terms: -2x + 2x = 0 13 + 6x = 49 + 0 13 + 6x = 49 Add '-13' to each side of the equation. 13 + -13 + 6x = 49 + -13 Combine like terms: 13 + -13 = 0 0 + 6x = 49 + -13 6x = 49 + -13 Combine like terms: 49 + -13 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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