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Simplifying 17x + -3(5x + -4) = 8(3x + -4) Reorder the terms: 17x + -3(-4 + 5x) = 8(3x + -4) 17x + (-4 * -3 + 5x * -3) = 8(3x + -4) 17x + (12 + -15x) = 8(3x + -4) Reorder the terms: 12 + 17x + -15x = 8(3x + -4) Combine like terms: 17x + -15x = 2x 12 + 2x = 8(3x + -4) Reorder the terms: 12 + 2x = 8(-4 + 3x) 12 + 2x = (-4 * 8 + 3x * 8) 12 + 2x = (-32 + 24x) Solving 12 + 2x = -32 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. 12 + 2x + -24x = -32 + 24x + -24x Combine like terms: 2x + -24x = -22x 12 + -22x = -32 + 24x + -24x Combine like terms: 24x + -24x = 0 12 + -22x = -32 + 0 12 + -22x = -32 Add '-12' to each side of the equation. 12 + -12 + -22x = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -22x = -32 + -12 -22x = -32 + -12 Combine like terms: -32 + -12 = -44 -22x = -44 Divide each side by '-22'. x = 2 Simplifying x = 2
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