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Simplifying 4(1 + -1x) + -2(x + -4) = 42 + -1x (1 * 4 + -1x * 4) + -2(x + -4) = 42 + -1x (4 + -4x) + -2(x + -4) = 42 + -1x Reorder the terms: 4 + -4x + -2(-4 + x) = 42 + -1x 4 + -4x + (-4 * -2 + x * -2) = 42 + -1x 4 + -4x + (8 + -2x) = 42 + -1x Reorder the terms: 4 + 8 + -4x + -2x = 42 + -1x Combine like terms: 4 + 8 = 12 12 + -4x + -2x = 42 + -1x Combine like terms: -4x + -2x = -6x 12 + -6x = 42 + -1x Solving 12 + -6x = 42 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 12 + -6x + x = 42 + -1x + x Combine like terms: -6x + x = -5x 12 + -5x = 42 + -1x + x Combine like terms: -1x + x = 0 12 + -5x = 42 + 0 12 + -5x = 42 Add '-12' to each side of the equation. 12 + -12 + -5x = 42 + -12 Combine like terms: 12 + -12 = 0 0 + -5x = 42 + -12 -5x = 42 + -12 Combine like terms: 42 + -12 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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