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Simplifying 3(2x + 4) + -2(x + 1) = 90 Reorder the terms: 3(4 + 2x) + -2(x + 1) = 90 (4 * 3 + 2x * 3) + -2(x + 1) = 90 (12 + 6x) + -2(x + 1) = 90 Reorder the terms: 12 + 6x + -2(1 + x) = 90 12 + 6x + (1 * -2 + x * -2) = 90 12 + 6x + (-2 + -2x) = 90 Reorder the terms: 12 + -2 + 6x + -2x = 90 Combine like terms: 12 + -2 = 10 10 + 6x + -2x = 90 Combine like terms: 6x + -2x = 4x 10 + 4x = 90 Solving 10 + 4x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + -10 + 4x = 90 + -10 Combine like terms: 10 + -10 = 0 0 + 4x = 90 + -10 4x = 90 + -10 Combine like terms: 90 + -10 = 80 4x = 80 Divide each side by '4'. x = 20 Simplifying x = 20
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