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