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Simplifying 5(3 + -6x) = 7 + -2(1 + -4x) (3 * 5 + -6x * 5) = 7 + -2(1 + -4x) (15 + -30x) = 7 + -2(1 + -4x) 15 + -30x = 7 + (1 * -2 + -4x * -2) 15 + -30x = 7 + (-2 + 8x) Combine like terms: 7 + -2 = 5 15 + -30x = 5 + 8x Solving 15 + -30x = 5 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 15 + -30x + -8x = 5 + 8x + -8x Combine like terms: -30x + -8x = -38x 15 + -38x = 5 + 8x + -8x Combine like terms: 8x + -8x = 0 15 + -38x = 5 + 0 15 + -38x = 5 Add '-15' to each side of the equation. 15 + -15 + -38x = 5 + -15 Combine like terms: 15 + -15 = 0 0 + -38x = 5 + -15 -38x = 5 + -15 Combine like terms: 5 + -15 = -10 -38x = -10 Divide each side by '-38'. x = 0.2631578947 Simplifying x = 0.2631578947
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