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Simplifying 5(1 + -2x) = 3 + -3(2 + -1x) (1 * 5 + -2x * 5) = 3 + -3(2 + -1x) (5 + -10x) = 3 + -3(2 + -1x) 5 + -10x = 3 + (2 * -3 + -1x * -3) 5 + -10x = 3 + (-6 + 3x) Combine like terms: 3 + -6 = -3 5 + -10x = -3 + 3x Solving 5 + -10x = -3 + 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 = -3 + 3x + -3x Combine like terms: -10x + -3x = -13x 5 + -13x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 5 + -13x = -3 + 0 5 + -13x = -3 Add '-5' to each side of the equation. 5 + -5 + -13x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + -13x = -3 + -5 -13x = -3 + -5 Combine like terms: -3 + -5 = -8 -13x = -8 Divide each side by '-13'. x = 0.6153846154 Simplifying x = 0.6153846154
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