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Simplifying 20 + -4(1 + x) = 4(x + -2) 20 + (1 * -4 + x * -4) = 4(x + -2) 20 + (-4 + -4x) = 4(x + -2) Combine like terms: 20 + -4 = 16 16 + -4x = 4(x + -2) Reorder the terms: 16 + -4x = 4(-2 + x) 16 + -4x = (-2 * 4 + x * 4) 16 + -4x = (-8 + 4x) Solving 16 + -4x = -8 + 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. 16 + -4x + -4x = -8 + 4x + -4x Combine like terms: -4x + -4x = -8x 16 + -8x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 16 + -8x = -8 + 0 16 + -8x = -8 Add '-16' to each side of the equation. 16 + -16 + -8x = -8 + -16 Combine like terms: 16 + -16 = 0 0 + -8x = -8 + -16 -8x = -8 + -16 Combine like terms: -8 + -16 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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