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Simplifying 4x + 3(x + -8) = 17x + 12 Reorder the terms: 4x + 3(-8 + x) = 17x + 12 4x + (-8 * 3 + x * 3) = 17x + 12 4x + (-24 + 3x) = 17x + 12 Reorder the terms: -24 + 4x + 3x = 17x + 12 Combine like terms: 4x + 3x = 7x -24 + 7x = 17x + 12 Reorder the terms: -24 + 7x = 12 + 17x Solving -24 + 7x = 12 + 17x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17x' to each side of the equation. -24 + 7x + -17x = 12 + 17x + -17x Combine like terms: 7x + -17x = -10x -24 + -10x = 12 + 17x + -17x Combine like terms: 17x + -17x = 0 -24 + -10x = 12 + 0 -24 + -10x = 12 Add '24' to each side of the equation. -24 + 24 + -10x = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -10x = 12 + 24 -10x = 12 + 24 Combine like terms: 12 + 24 = 36 -10x = 36 Divide each side by '-10'. x = -3.6 Simplifying x = -3.6
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