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Simplifying 2(4x + 1) + 5x = 14x + 30 + -8x Reorder the terms: 2(1 + 4x) + 5x = 14x + 30 + -8x (1 * 2 + 4x * 2) + 5x = 14x + 30 + -8x (2 + 8x) + 5x = 14x + 30 + -8x Combine like terms: 8x + 5x = 13x 2 + 13x = 14x + 30 + -8x Reorder the terms: 2 + 13x = 30 + 14x + -8x Combine like terms: 14x + -8x = 6x 2 + 13x = 30 + 6x Solving 2 + 13x = 30 + 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. 2 + 13x + -6x = 30 + 6x + -6x Combine like terms: 13x + -6x = 7x 2 + 7x = 30 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + 7x = 30 + 0 2 + 7x = 30 Add '-2' to each side of the equation. 2 + -2 + 7x = 30 + -2 Combine like terms: 2 + -2 = 0 0 + 7x = 30 + -2 7x = 30 + -2 Combine like terms: 30 + -2 = 28 7x = 28 Divide each side by '7'. x = 4 Simplifying x = 4
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