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Simplifying -3(x + 5) + -4(x + -11) = -34 Reorder the terms: -3(5 + x) + -4(x + -11) = -34 (5 * -3 + x * -3) + -4(x + -11) = -34 (-15 + -3x) + -4(x + -11) = -34 Reorder the terms: -15 + -3x + -4(-11 + x) = -34 -15 + -3x + (-11 * -4 + x * -4) = -34 -15 + -3x + (44 + -4x) = -34 Reorder the terms: -15 + 44 + -3x + -4x = -34 Combine like terms: -15 + 44 = 29 29 + -3x + -4x = -34 Combine like terms: -3x + -4x = -7x 29 + -7x = -34 Solving 29 + -7x = -34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29' to each side of the equation. 29 + -29 + -7x = -34 + -29 Combine like terms: 29 + -29 = 0 0 + -7x = -34 + -29 -7x = -34 + -29 Combine like terms: -34 + -29 = -63 -7x = -63 Divide each side by '-7'. x = 9 Simplifying x = 9
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