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Simplifying 2(4x + 1) + -8 = -6x + 15 Reorder the terms: 2(1 + 4x) + -8 = -6x + 15 (1 * 2 + 4x * 2) + -8 = -6x + 15 (2 + 8x) + -8 = -6x + 15 Reorder the terms: 2 + -8 + 8x = -6x + 15 Combine like terms: 2 + -8 = -6 -6 + 8x = -6x + 15 Reorder the terms: -6 + 8x = 15 + -6x Solving -6 + 8x = 15 + -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. -6 + 8x + 6x = 15 + -6x + 6x Combine like terms: 8x + 6x = 14x -6 + 14x = 15 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 14x = 15 + 0 -6 + 14x = 15 Add '6' to each side of the equation. -6 + 6 + 14x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + 14x = 15 + 6 14x = 15 + 6 Combine like terms: 15 + 6 = 21 14x = 21 Divide each side by '14'. x = 1.5 Simplifying x = 1.5
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