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Simplifying 3(x + -5) + 2(3x + 11) = 45 Reorder the terms: 3(-5 + x) + 2(3x + 11) = 45 (-5 * 3 + x * 3) + 2(3x + 11) = 45 (-15 + 3x) + 2(3x + 11) = 45 Reorder the terms: -15 + 3x + 2(11 + 3x) = 45 -15 + 3x + (11 * 2 + 3x * 2) = 45 -15 + 3x + (22 + 6x) = 45 Reorder the terms: -15 + 22 + 3x + 6x = 45 Combine like terms: -15 + 22 = 7 7 + 3x + 6x = 45 Combine like terms: 3x + 6x = 9x 7 + 9x = 45 Solving 7 + 9x = 45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + -7 + 9x = 45 + -7 Combine like terms: 7 + -7 = 0 0 + 9x = 45 + -7 9x = 45 + -7 Combine like terms: 45 + -7 = 38 9x = 38 Divide each side by '9'. x = 4.222222222 Simplifying x = 4.222222222
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