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Simplifying 3x + 5(x + -2) = 3x + 4(x + -8) Reorder the terms: 3x + 5(-2 + x) = 3x + 4(x + -8) 3x + (-2 * 5 + x * 5) = 3x + 4(x + -8) 3x + (-10 + 5x) = 3x + 4(x + -8) Reorder the terms: -10 + 3x + 5x = 3x + 4(x + -8) Combine like terms: 3x + 5x = 8x -10 + 8x = 3x + 4(x + -8) Reorder the terms: -10 + 8x = 3x + 4(-8 + x) -10 + 8x = 3x + (-8 * 4 + x * 4) -10 + 8x = 3x + (-32 + 4x) Reorder the terms: -10 + 8x = -32 + 3x + 4x Combine like terms: 3x + 4x = 7x -10 + 8x = -32 + 7x Solving -10 + 8x = -32 + 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. -10 + 8x + -7x = -32 + 7x + -7x Combine like terms: 8x + -7x = 1x -10 + 1x = -32 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 1x = -32 + 0 -10 + 1x = -32 Add '10' to each side of the equation. -10 + 10 + 1x = -32 + 10 Combine like terms: -10 + 10 = 0 0 + 1x = -32 + 10 1x = -32 + 10 Combine like terms: -32 + 10 = -22 1x = -22 Divide each side by '1'. x = -22 Simplifying x = -22
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