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Simplifying 12 + 3(8x + -2) = 17x + -3(x + 4) Reorder the terms: 12 + 3(-2 + 8x) = 17x + -3(x + 4) 12 + (-2 * 3 + 8x * 3) = 17x + -3(x + 4) 12 + (-6 + 24x) = 17x + -3(x + 4) Combine like terms: 12 + -6 = 6 6 + 24x = 17x + -3(x + 4) Reorder the terms: 6 + 24x = 17x + -3(4 + x) 6 + 24x = 17x + (4 * -3 + x * -3) 6 + 24x = 17x + (-12 + -3x) Reorder the terms: 6 + 24x = -12 + 17x + -3x Combine like terms: 17x + -3x = 14x 6 + 24x = -12 + 14x Solving 6 + 24x = -12 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 6 + 24x + -14x = -12 + 14x + -14x Combine like terms: 24x + -14x = 10x 6 + 10x = -12 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + 10x = -12 + 0 6 + 10x = -12 Add '-6' to each side of the equation. 6 + -6 + 10x = -12 + -6 Combine like terms: 6 + -6 = 0 0 + 10x = -12 + -6 10x = -12 + -6 Combine like terms: -12 + -6 = -18 10x = -18 Divide each side by '10'. x = -1.8 Simplifying x = -1.8
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