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Simplifying 6(4x + 1) + -4(4x + -3) = 34 Reorder the terms: 6(1 + 4x) + -4(4x + -3) = 34 (1 * 6 + 4x * 6) + -4(4x + -3) = 34 (6 + 24x) + -4(4x + -3) = 34 Reorder the terms: 6 + 24x + -4(-3 + 4x) = 34 6 + 24x + (-3 * -4 + 4x * -4) = 34 6 + 24x + (12 + -16x) = 34 Reorder the terms: 6 + 12 + 24x + -16x = 34 Combine like terms: 6 + 12 = 18 18 + 24x + -16x = 34 Combine like terms: 24x + -16x = 8x 18 + 8x = 34 Solving 18 + 8x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 8x = 34 + -18 Combine like terms: 18 + -18 = 0 0 + 8x = 34 + -18 8x = 34 + -18 Combine like terms: 34 + -18 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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