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Simplifying -4(x + 1) = 2(x + 20) Reorder the terms: -4(1 + x) = 2(x + 20) (1 * -4 + x * -4) = 2(x + 20) (-4 + -4x) = 2(x + 20) Reorder the terms: -4 + -4x = 2(20 + x) -4 + -4x = (20 * 2 + x * 2) -4 + -4x = (40 + 2x) Solving -4 + -4x = 40 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -4 + -4x + -2x = 40 + 2x + -2x Combine like terms: -4x + -2x = -6x -4 + -6x = 40 + 2x + -2x Combine like terms: 2x + -2x = 0 -4 + -6x = 40 + 0 -4 + -6x = 40 Add '4' to each side of the equation. -4 + 4 + -6x = 40 + 4 Combine like terms: -4 + 4 = 0 0 + -6x = 40 + 4 -6x = 40 + 4 Combine like terms: 40 + 4 = 44 -6x = 44 Divide each side by '-6'. x = -7.333333333 Simplifying x = -7.333333333
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