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Simplifying 5x + 49 = 2(5x + -3) Reorder the terms: 49 + 5x = 2(5x + -3) Reorder the terms: 49 + 5x = 2(-3 + 5x) 49 + 5x = (-3 * 2 + 5x * 2) 49 + 5x = (-6 + 10x) Solving 49 + 5x = -6 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 49 + 5x + -10x = -6 + 10x + -10x Combine like terms: 5x + -10x = -5x 49 + -5x = -6 + 10x + -10x Combine like terms: 10x + -10x = 0 49 + -5x = -6 + 0 49 + -5x = -6 Add '-49' to each side of the equation. 49 + -49 + -5x = -6 + -49 Combine like terms: 49 + -49 = 0 0 + -5x = -6 + -49 -5x = -6 + -49 Combine like terms: -6 + -49 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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