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Simplifying 5(3x + 1) = 2x + -8x Reorder the terms: 5(1 + 3x) = 2x + -8x (1 * 5 + 3x * 5) = 2x + -8x (5 + 15x) = 2x + -8x Combine like terms: 2x + -8x = -6x 5 + 15x = -6x Solving 5 + 15x = -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. 5 + 15x + 6x = -6x + 6x Combine like terms: 15x + 6x = 21x 5 + 21x = -6x + 6x Combine like terms: -6x + 6x = 0 5 + 21x = 0 Add '-5' to each side of the equation. 5 + -5 + 21x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 21x = 0 + -5 21x = 0 + -5 Combine like terms: 0 + -5 = -5 21x = -5 Divide each side by '21'. x = -0.2380952381 Simplifying x = -0.2380952381
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