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Simplifying 5(3 + -2x) = 8 + -6(2 + -5x) (3 * 5 + -2x * 5) = 8 + -6(2 + -5x) (15 + -10x) = 8 + -6(2 + -5x) 15 + -10x = 8 + (2 * -6 + -5x * -6) 15 + -10x = 8 + (-12 + 30x) Combine like terms: 8 + -12 = -4 15 + -10x = -4 + 30x Solving 15 + -10x = -4 + 30x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30x' to each side of the equation. 15 + -10x + -30x = -4 + 30x + -30x Combine like terms: -10x + -30x = -40x 15 + -40x = -4 + 30x + -30x Combine like terms: 30x + -30x = 0 15 + -40x = -4 + 0 15 + -40x = -4 Add '-15' to each side of the equation. 15 + -15 + -40x = -4 + -15 Combine like terms: 15 + -15 = 0 0 + -40x = -4 + -15 -40x = -4 + -15 Combine like terms: -4 + -15 = -19 -40x = -19 Divide each side by '-40'. x = 0.475 Simplifying x = 0.475
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