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Simplifying -66 = -4(1 + -8x) + -2(7x + 4) -66 = (1 * -4 + -8x * -4) + -2(7x + 4) -66 = (-4 + 32x) + -2(7x + 4) Reorder the terms: -66 = -4 + 32x + -2(4 + 7x) -66 = -4 + 32x + (4 * -2 + 7x * -2) -66 = -4 + 32x + (-8 + -14x) Reorder the terms: -66 = -4 + -8 + 32x + -14x Combine like terms: -4 + -8 = -12 -66 = -12 + 32x + -14x Combine like terms: 32x + -14x = 18x -66 = -12 + 18x Solving -66 = -12 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -66 + -18x = -12 + 18x + -18x Combine like terms: 18x + -18x = 0 -66 + -18x = -12 + 0 -66 + -18x = -12 Add '66' to each side of the equation. -66 + 66 + -18x = -12 + 66 Combine like terms: -66 + 66 = 0 0 + -18x = -12 + 66 -18x = -12 + 66 Combine like terms: -12 + 66 = 54 -18x = 54 Divide each side by '-18'. x = -3 Simplifying x = -3
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