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Simplifying 3(5x + -2) + 8 = 6(2x + 1) Reorder the terms: 3(-2 + 5x) + 8 = 6(2x + 1) (-2 * 3 + 5x * 3) + 8 = 6(2x + 1) (-6 + 15x) + 8 = 6(2x + 1) Reorder the terms: -6 + 8 + 15x = 6(2x + 1) Combine like terms: -6 + 8 = 2 2 + 15x = 6(2x + 1) Reorder the terms: 2 + 15x = 6(1 + 2x) 2 + 15x = (1 * 6 + 2x * 6) 2 + 15x = (6 + 12x) Solving 2 + 15x = 6 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 2 + 15x + -12x = 6 + 12x + -12x Combine like terms: 15x + -12x = 3x 2 + 3x = 6 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + 3x = 6 + 0 2 + 3x = 6 Add '-2' to each side of the equation. 2 + -2 + 3x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 6 + -2 3x = 6 + -2 Combine like terms: 6 + -2 = 4 3x = 4 Divide each side by '3'. x = 1.333333333 Simplifying x = 1.333333333
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