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Simplifying 3(5 + -8x) + 8x = -6 + 5x (5 * 3 + -8x * 3) + 8x = -6 + 5x (15 + -24x) + 8x = -6 + 5x Combine like terms: -24x + 8x = -16x 15 + -16x = -6 + 5x Solving 15 + -16x = -6 + 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. 15 + -16x + -5x = -6 + 5x + -5x Combine like terms: -16x + -5x = -21x 15 + -21x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -21x = -6 + 0 15 + -21x = -6 Add '-15' to each side of the equation. 15 + -15 + -21x = -6 + -15 Combine like terms: 15 + -15 = 0 0 + -21x = -6 + -15 -21x = -6 + -15 Combine like terms: -6 + -15 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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