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Simplifying 6(2 + 4x) + -8x = 3(1 + -5x) + 9 (2 * 6 + 4x * 6) + -8x = 3(1 + -5x) + 9 (12 + 24x) + -8x = 3(1 + -5x) + 9 Combine like terms: 24x + -8x = 16x 12 + 16x = 3(1 + -5x) + 9 12 + 16x = (1 * 3 + -5x * 3) + 9 12 + 16x = (3 + -15x) + 9 Reorder the terms: 12 + 16x = 3 + 9 + -15x Combine like terms: 3 + 9 = 12 12 + 16x = 12 + -15x Add '-12' to each side of the equation. 12 + -12 + 16x = 12 + -12 + -15x Combine like terms: 12 + -12 = 0 0 + 16x = 12 + -12 + -15x 16x = 12 + -12 + -15x Combine like terms: 12 + -12 = 0 16x = 0 + -15x 16x = -15x Solving 16x = -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. 16x + 15x = -15x + 15x Combine like terms: 16x + 15x = 31x 31x = -15x + 15x Combine like terms: -15x + 15x = 0 31x = 0 Divide each side by '31'. x = 0 Simplifying x = 0
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