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Simplifying -4(11x + -5) = 7(-30 + x) Reorder the terms: -4(-5 + 11x) = 7(-30 + x) (-5 * -4 + 11x * -4) = 7(-30 + x) (20 + -44x) = 7(-30 + x) 20 + -44x = (-30 * 7 + x * 7) 20 + -44x = (-210 + 7x) Solving 20 + -44x = -210 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 20 + -44x + -7x = -210 + 7x + -7x Combine like terms: -44x + -7x = -51x 20 + -51x = -210 + 7x + -7x Combine like terms: 7x + -7x = 0 20 + -51x = -210 + 0 20 + -51x = -210 Add '-20' to each side of the equation. 20 + -20 + -51x = -210 + -20 Combine like terms: 20 + -20 = 0 0 + -51x = -210 + -20 -51x = -210 + -20 Combine like terms: -210 + -20 = -230 -51x = -230 Divide each side by '-51'. x = 4.509803922 Simplifying x = 4.509803922
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