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Simplifying (2x + -8) + 3x = 4(x + -5) + 1 Reorder the terms: (-8 + 2x) + 3x = 4(x + -5) + 1 Remove parenthesis around (-8 + 2x) -8 + 2x + 3x = 4(x + -5) + 1 Combine like terms: 2x + 3x = 5x -8 + 5x = 4(x + -5) + 1 Reorder the terms: -8 + 5x = 4(-5 + x) + 1 -8 + 5x = (-5 * 4 + x * 4) + 1 -8 + 5x = (-20 + 4x) + 1 Reorder the terms: -8 + 5x = -20 + 1 + 4x Combine like terms: -20 + 1 = -19 -8 + 5x = -19 + 4x Solving -8 + 5x = -19 + 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. -8 + 5x + -4x = -19 + 4x + -4x Combine like terms: 5x + -4x = 1x -8 + 1x = -19 + 4x + -4x Combine like terms: 4x + -4x = 0 -8 + 1x = -19 + 0 -8 + 1x = -19 Add '8' to each side of the equation. -8 + 8 + 1x = -19 + 8 Combine like terms: -8 + 8 = 0 0 + 1x = -19 + 8 1x = -19 + 8 Combine like terms: -19 + 8 = -11 1x = -11 Divide each side by '1'. x = -11 Simplifying x = -11
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