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Simplifying 5(x + 8) = -6x + -48 Reorder the terms: 5(8 + x) = -6x + -48 (8 * 5 + x * 5) = -6x + -48 (40 + 5x) = -6x + -48 Reorder the terms: 40 + 5x = -48 + -6x Solving 40 + 5x = -48 + -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. 40 + 5x + 6x = -48 + -6x + 6x Combine like terms: 5x + 6x = 11x 40 + 11x = -48 + -6x + 6x Combine like terms: -6x + 6x = 0 40 + 11x = -48 + 0 40 + 11x = -48 Add '-40' to each side of the equation. 40 + -40 + 11x = -48 + -40 Combine like terms: 40 + -40 = 0 0 + 11x = -48 + -40 11x = -48 + -40 Combine like terms: -48 + -40 = -88 11x = -88 Divide each side by '11'. x = -8 Simplifying x = -8
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