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Simplifying 5(1 + -2x) = 1 + -8(4x + -6) (1 * 5 + -2x * 5) = 1 + -8(4x + -6) (5 + -10x) = 1 + -8(4x + -6) Reorder the terms: 5 + -10x = 1 + -8(-6 + 4x) 5 + -10x = 1 + (-6 * -8 + 4x * -8) 5 + -10x = 1 + (48 + -32x) Combine like terms: 1 + 48 = 49 5 + -10x = 49 + -32x Solving 5 + -10x = 49 + -32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '32x' to each side of the equation. 5 + -10x + 32x = 49 + -32x + 32x Combine like terms: -10x + 32x = 22x 5 + 22x = 49 + -32x + 32x Combine like terms: -32x + 32x = 0 5 + 22x = 49 + 0 5 + 22x = 49 Add '-5' to each side of the equation. 5 + -5 + 22x = 49 + -5 Combine like terms: 5 + -5 = 0 0 + 22x = 49 + -5 22x = 49 + -5 Combine like terms: 49 + -5 = 44 22x = 44 Divide each side by '22'. x = 2 Simplifying x = 2
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