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Simplifying 5(20 + x) + 2(3 + -2x) = 90 (20 * 5 + x * 5) + 2(3 + -2x) = 90 (100 + 5x) + 2(3 + -2x) = 90 100 + 5x + (3 * 2 + -2x * 2) = 90 100 + 5x + (6 + -4x) = 90 Reorder the terms: 100 + 6 + 5x + -4x = 90 Combine like terms: 100 + 6 = 106 106 + 5x + -4x = 90 Combine like terms: 5x + -4x = 1x 106 + 1x = 90 Solving 106 + 1x = 90 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-106' to each side of the equation. 106 + -106 + 1x = 90 + -106 Combine like terms: 106 + -106 = 0 0 + 1x = 90 + -106 1x = 90 + -106 Combine like terms: 90 + -106 = -16 1x = -16 Divide each side by '1'. x = -16 Simplifying x = -16
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