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Simplifying 3(x + -7) + 5(x + 11) = 20 Reorder the terms: 3(-7 + x) + 5(x + 11) = 20 (-7 * 3 + x * 3) + 5(x + 11) = 20 (-21 + 3x) + 5(x + 11) = 20 Reorder the terms: -21 + 3x + 5(11 + x) = 20 -21 + 3x + (11 * 5 + x * 5) = 20 -21 + 3x + (55 + 5x) = 20 Reorder the terms: -21 + 55 + 3x + 5x = 20 Combine like terms: -21 + 55 = 34 34 + 3x + 5x = 20 Combine like terms: 3x + 5x = 8x 34 + 8x = 20 Solving 34 + 8x = 20 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34' to each side of the equation. 34 + -34 + 8x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 8x = 20 + -34 8x = 20 + -34 Combine like terms: 20 + -34 = -14 8x = -14 Divide each side by '8'. x = -1.75 Simplifying x = -1.75
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