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Simplifying 5(3 + -6x) = 11 + -8(1 + -2x) (3 * 5 + -6x * 5) = 11 + -8(1 + -2x) (15 + -30x) = 11 + -8(1 + -2x) 15 + -30x = 11 + (1 * -8 + -2x * -8) 15 + -30x = 11 + (-8 + 16x) Combine like terms: 11 + -8 = 3 15 + -30x = 3 + 16x Solving 15 + -30x = 3 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 15 + -30x + -16x = 3 + 16x + -16x Combine like terms: -30x + -16x = -46x 15 + -46x = 3 + 16x + -16x Combine like terms: 16x + -16x = 0 15 + -46x = 3 + 0 15 + -46x = 3 Add '-15' to each side of the equation. 15 + -15 + -46x = 3 + -15 Combine like terms: 15 + -15 = 0 0 + -46x = 3 + -15 -46x = 3 + -15 Combine like terms: 3 + -15 = -12 -46x = -12 Divide each side by '-46'. x = 0.2608695652 Simplifying x = 0.2608695652
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