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Simplifying 5(2 + -3x) = 4 + -1(5x + -2) (2 * 5 + -3x * 5) = 4 + -1(5x + -2) (10 + -15x) = 4 + -1(5x + -2) Reorder the terms: 10 + -15x = 4 + -1(-2 + 5x) 10 + -15x = 4 + (-2 * -1 + 5x * -1) 10 + -15x = 4 + (2 + -5x) Combine like terms: 4 + 2 = 6 10 + -15x = 6 + -5x Solving 10 + -15x = 6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 10 + -15x + 5x = 6 + -5x + 5x Combine like terms: -15x + 5x = -10x 10 + -10x = 6 + -5x + 5x Combine like terms: -5x + 5x = 0 10 + -10x = 6 + 0 10 + -10x = 6 Add '-10' to each side of the equation. 10 + -10 + -10x = 6 + -10 Combine like terms: 10 + -10 = 0 0 + -10x = 6 + -10 -10x = 6 + -10 Combine like terms: 6 + -10 = -4 -10x = -4 Divide each side by '-10'. x = 0.4 Simplifying x = 0.4
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