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Simplifying 3x + 8(3x + -4) = 7x + -17 Reorder the terms: 3x + 8(-4 + 3x) = 7x + -17 3x + (-4 * 8 + 3x * 8) = 7x + -17 3x + (-32 + 24x) = 7x + -17 Reorder the terms: -32 + 3x + 24x = 7x + -17 Combine like terms: 3x + 24x = 27x -32 + 27x = 7x + -17 Reorder the terms: -32 + 27x = -17 + 7x Solving -32 + 27x = -17 + 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. -32 + 27x + -7x = -17 + 7x + -7x Combine like terms: 27x + -7x = 20x -32 + 20x = -17 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + 20x = -17 + 0 -32 + 20x = -17 Add '32' to each side of the equation. -32 + 32 + 20x = -17 + 32 Combine like terms: -32 + 32 = 0 0 + 20x = -17 + 32 20x = -17 + 32 Combine like terms: -17 + 32 = 15 20x = 15 Divide each side by '20'. x = 0.75 Simplifying x = 0.75
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