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Simplifying 3(x + -2) = -4(x + 8) + 10 Reorder the terms: 3(-2 + x) = -4(x + 8) + 10 (-2 * 3 + x * 3) = -4(x + 8) + 10 (-6 + 3x) = -4(x + 8) + 10 Reorder the terms: -6 + 3x = -4(8 + x) + 10 -6 + 3x = (8 * -4 + x * -4) + 10 -6 + 3x = (-32 + -4x) + 10 Reorder the terms: -6 + 3x = -32 + 10 + -4x Combine like terms: -32 + 10 = -22 -6 + 3x = -22 + -4x Solving -6 + 3x = -22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -6 + 3x + 4x = -22 + -4x + 4x Combine like terms: 3x + 4x = 7x -6 + 7x = -22 + -4x + 4x Combine like terms: -4x + 4x = 0 -6 + 7x = -22 + 0 -6 + 7x = -22 Add '6' to each side of the equation. -6 + 6 + 7x = -22 + 6 Combine like terms: -6 + 6 = 0 0 + 7x = -22 + 6 7x = -22 + 6 Combine like terms: -22 + 6 = -16 7x = -16 Divide each side by '7'. x = -2.285714286 Simplifying x = -2.285714286
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