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Simplifying 5(x + 6) = -3x Reorder the terms: 5(6 + x) = -3x (6 * 5 + x * 5) = -3x (30 + 5x) = -3x Solving 30 + 5x = -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 30 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 30 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 30 + 8x = 0 Add '-30' to each side of the equation. 30 + -30 + 8x = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 8x = 0 + -30 8x = 0 + -30 Combine like terms: 0 + -30 = -30 8x = -30 Divide each side by '8'. x = -3.75 Simplifying x = -3.75
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