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Simplifying 8(-6 + -3x) + 3(x + 1) = -66 (-6 * 8 + -3x * 8) + 3(x + 1) = -66 (-48 + -24x) + 3(x + 1) = -66 Reorder the terms: -48 + -24x + 3(1 + x) = -66 -48 + -24x + (1 * 3 + x * 3) = -66 -48 + -24x + (3 + 3x) = -66 Reorder the terms: -48 + 3 + -24x + 3x = -66 Combine like terms: -48 + 3 = -45 -45 + -24x + 3x = -66 Combine like terms: -24x + 3x = -21x -45 + -21x = -66 Solving -45 + -21x = -66 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '45' to each side of the equation. -45 + 45 + -21x = -66 + 45 Combine like terms: -45 + 45 = 0 0 + -21x = -66 + 45 -21x = -66 + 45 Combine like terms: -66 + 45 = -21 -21x = -21 Divide each side by '-21'. x = 1 Simplifying x = 1
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