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Simplifying 6(3x + 8) = -4 + 5x Reorder the terms: 6(8 + 3x) = -4 + 5x (8 * 6 + 3x * 6) = -4 + 5x (48 + 18x) = -4 + 5x Solving 48 + 18x = -4 + 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. 48 + 18x + -5x = -4 + 5x + -5x Combine like terms: 18x + -5x = 13x 48 + 13x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 48 + 13x = -4 + 0 48 + 13x = -4 Add '-48' to each side of the equation. 48 + -48 + 13x = -4 + -48 Combine like terms: 48 + -48 = 0 0 + 13x = -4 + -48 13x = -4 + -48 Combine like terms: -4 + -48 = -52 13x = -52 Divide each side by '13'. x = -4 Simplifying x = -4
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