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Simplifying 6 + 2(4x + -3) = -3(4x + -1) + 5x Reorder the terms: 6 + 2(-3 + 4x) = -3(4x + -1) + 5x 6 + (-3 * 2 + 4x * 2) = -3(4x + -1) + 5x 6 + (-6 + 8x) = -3(4x + -1) + 5x Combine like terms: 6 + -6 = 0 0 + 8x = -3(4x + -1) + 5x 8x = -3(4x + -1) + 5x Reorder the terms: 8x = -3(-1 + 4x) + 5x 8x = (-1 * -3 + 4x * -3) + 5x 8x = (3 + -12x) + 5x Combine like terms: -12x + 5x = -7x 8x = 3 + -7x Solving 8x = 3 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8x + 7x = 3 + -7x + 7x Combine like terms: 8x + 7x = 15x 15x = 3 + -7x + 7x Combine like terms: -7x + 7x = 0 15x = 3 + 0 15x = 3 Divide each side by '15'. x = 0.2 Simplifying x = 0.2
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