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Simplifying -4(4x + 5) = -30 + 6x Reorder the terms: -4(5 + 4x) = -30 + 6x (5 * -4 + 4x * -4) = -30 + 6x (-20 + -16x) = -30 + 6x Solving -20 + -16x = -30 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + -16x + -6x = -30 + 6x + -6x Combine like terms: -16x + -6x = -22x -20 + -22x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -22x = -30 + 0 -20 + -22x = -30 Add '20' to each side of the equation. -20 + 20 + -22x = -30 + 20 Combine like terms: -20 + 20 = 0 0 + -22x = -30 + 20 -22x = -30 + 20 Combine like terms: -30 + 20 = -10 -22x = -10 Divide each side by '-22'. x = 0.4545454545 Simplifying x = 0.4545454545
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