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Simplifying 2x + 10 = 90 + -1(4x + 20) Reorder the terms: 10 + 2x = 90 + -1(4x + 20) Reorder the terms: 10 + 2x = 90 + -1(20 + 4x) 10 + 2x = 90 + (20 * -1 + 4x * -1) 10 + 2x = 90 + (-20 + -4x) Combine like terms: 90 + -20 = 70 10 + 2x = 70 + -4x Solving 10 + 2x = 70 + -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. 10 + 2x + 4x = 70 + -4x + 4x Combine like terms: 2x + 4x = 6x 10 + 6x = 70 + -4x + 4x Combine like terms: -4x + 4x = 0 10 + 6x = 70 + 0 10 + 6x = 70 Add '-10' to each side of the equation. 10 + -10 + 6x = 70 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 70 + -10 6x = 70 + -10 Combine like terms: 70 + -10 = 60 6x = 60 Divide each side by '6'. x = 10 Simplifying x = 10
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