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Simplifying 5 = 4(-5 + x) + 1 + -2x 5 = (-5 * 4 + x * 4) + 1 + -2x 5 = (-20 + 4x) + 1 + -2x Reorder the terms: 5 = -20 + 1 + 4x + -2x Combine like terms: -20 + 1 = -19 5 = -19 + 4x + -2x Combine like terms: 4x + -2x = 2x 5 = -19 + 2x Solving 5 = -19 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + -2x = -19 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + -2x = -19 + 0 5 + -2x = -19 Add '-5' to each side of the equation. 5 + -5 + -2x = -19 + -5 Combine like terms: 5 + -5 = 0 0 + -2x = -19 + -5 -2x = -19 + -5 Combine like terms: -19 + -5 = -24 -2x = -24 Divide each side by '-2'. x = 12 Simplifying x = 12
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