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Simplifying 4(2x + 1) * 2 + -6(2x + 1) + 15 = 0 Reorder the terms: 4(1 + 2x) * 2 + -6(2x + 1) + 15 = 0 Reorder the terms for easier multiplication: 4 * 2(1 + 2x) + -6(2x + 1) + 15 = 0 Multiply 4 * 2 8(1 + 2x) + -6(2x + 1) + 15 = 0 (1 * 8 + 2x * 8) + -6(2x + 1) + 15 = 0 (8 + 16x) + -6(2x + 1) + 15 = 0 Reorder the terms: 8 + 16x + -6(1 + 2x) + 15 = 0 8 + 16x + (1 * -6 + 2x * -6) + 15 = 0 8 + 16x + (-6 + -12x) + 15 = 0 Reorder the terms: 8 + -6 + 15 + 16x + -12x = 0 Combine like terms: 8 + -6 = 2 2 + 15 + 16x + -12x = 0 Combine like terms: 2 + 15 = 17 17 + 16x + -12x = 0 Combine like terms: 16x + -12x = 4x 17 + 4x = 0 Solving 17 + 4x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 4x = 0 + -17 Combine like terms: 17 + -17 = 0 0 + 4x = 0 + -17 4x = 0 + -17 Combine like terms: 0 + -17 = -17 4x = -17 Divide each side by '4'. x = -4.25 Simplifying x = -4.25
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