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Simplifying 4(x + 6) = -5x + -30 Reorder the terms: 4(6 + x) = -5x + -30 (6 * 4 + x * 4) = -5x + -30 (24 + 4x) = -5x + -30 Reorder the terms: 24 + 4x = -30 + -5x Solving 24 + 4x = -30 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 24 + 4x + 5x = -30 + -5x + 5x Combine like terms: 4x + 5x = 9x 24 + 9x = -30 + -5x + 5x Combine like terms: -5x + 5x = 0 24 + 9x = -30 + 0 24 + 9x = -30 Add '-24' to each side of the equation. 24 + -24 + 9x = -30 + -24 Combine like terms: 24 + -24 = 0 0 + 9x = -30 + -24 9x = -30 + -24 Combine like terms: -30 + -24 = -54 9x = -54 Divide each side by '9'. x = -6 Simplifying x = -6
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