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Simplifying 5x + -5(2x + 1) = 5 + 2(5x + -20) Reorder the terms: 5x + -5(1 + 2x) = 5 + 2(5x + -20) 5x + (1 * -5 + 2x * -5) = 5 + 2(5x + -20) 5x + (-5 + -10x) = 5 + 2(5x + -20) Reorder the terms: -5 + 5x + -10x = 5 + 2(5x + -20) Combine like terms: 5x + -10x = -5x -5 + -5x = 5 + 2(5x + -20) Reorder the terms: -5 + -5x = 5 + 2(-20 + 5x) -5 + -5x = 5 + (-20 * 2 + 5x * 2) -5 + -5x = 5 + (-40 + 10x) Combine like terms: 5 + -40 = -35 -5 + -5x = -35 + 10x Solving -5 + -5x = -35 + 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. -5 + -5x + -10x = -35 + 10x + -10x Combine like terms: -5x + -10x = -15x -5 + -15x = -35 + 10x + -10x Combine like terms: 10x + -10x = 0 -5 + -15x = -35 + 0 -5 + -15x = -35 Add '5' to each side of the equation. -5 + 5 + -15x = -35 + 5 Combine like terms: -5 + 5 = 0 0 + -15x = -35 + 5 -15x = -35 + 5 Combine like terms: -35 + 5 = -30 -15x = -30 Divide each side by '-15'. x = 2 Simplifying x = 2
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