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Simplifying 2(1 + -7x) = -4(1x + -8) (1 * 2 + -7x * 2) = -4(1x + -8) (2 + -14x) = -4(1x + -8) Reorder the terms: 2 + -14x = -4(-8 + 1x) 2 + -14x = (-8 * -4 + 1x * -4) 2 + -14x = (32 + -4x) Solving 2 + -14x = 32 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 2 + -14x + 4x = 32 + -4x + 4x Combine like terms: -14x + 4x = -10x 2 + -10x = 32 + -4x + 4x Combine like terms: -4x + 4x = 0 2 + -10x = 32 + 0 2 + -10x = 32 Add '-2' to each side of the equation. 2 + -2 + -10x = 32 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = 32 + -2 -10x = 32 + -2 Combine like terms: 32 + -2 = 30 -10x = 30 Divide each side by '-10'. x = -3 Simplifying x = -3
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