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Simplifying 5(x + 10) = -2(2x + 20) Reorder the terms: 5(10 + x) = -2(2x + 20) (10 * 5 + x * 5) = -2(2x + 20) (50 + 5x) = -2(2x + 20) Reorder the terms: 50 + 5x = -2(20 + 2x) 50 + 5x = (20 * -2 + 2x * -2) 50 + 5x = (-40 + -4x) Solving 50 + 5x = -40 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 50 + 5x + 4x = -40 + -4x + 4x Combine like terms: 5x + 4x = 9x 50 + 9x = -40 + -4x + 4x Combine like terms: -4x + 4x = 0 50 + 9x = -40 + 0 50 + 9x = -40 Add '-50' to each side of the equation. 50 + -50 + 9x = -40 + -50 Combine like terms: 50 + -50 = 0 0 + 9x = -40 + -50 9x = -40 + -50 Combine like terms: -40 + -50 = -90 9x = -90 Divide each side by '9'. x = -10 Simplifying x = -10
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