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Simplifying 5(1 + -2x) = 3x + -21 (1 * 5 + -2x * 5) = 3x + -21 (5 + -10x) = 3x + -21 Reorder the terms: 5 + -10x = -21 + 3x Solving 5 + -10x = -21 + 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. 5 + -10x + -3x = -21 + 3x + -3x Combine like terms: -10x + -3x = -13x 5 + -13x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -13x = -21 + 0 5 + -13x = -21 Add '-5' to each side of the equation. 5 + -5 + -13x = -21 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = -21 + -5 -13x = -21 + -5 Combine like terms: -21 + -5 = -26 -13x = -26 Divide each side by '-13'. x = 2 Simplifying x = 2
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