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Simplifying 4(1 + 2x) = -16(x + -2) (1 * 4 + 2x * 4) = -16(x + -2) (4 + 8x) = -16(x + -2) Reorder the terms: 4 + 8x = -16(-2 + x) 4 + 8x = (-2 * -16 + x * -16) 4 + 8x = (32 + -16x) Solving 4 + 8x = 32 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 4 + 8x + 16x = 32 + -16x + 16x Combine like terms: 8x + 16x = 24x 4 + 24x = 32 + -16x + 16x Combine like terms: -16x + 16x = 0 4 + 24x = 32 + 0 4 + 24x = 32 Add '-4' to each side of the equation. 4 + -4 + 24x = 32 + -4 Combine like terms: 4 + -4 = 0 0 + 24x = 32 + -4 24x = 32 + -4 Combine like terms: 32 + -4 = 28 24x = 28 Divide each side by '24'. x = 1.166666667 Simplifying x = 1.166666667
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