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Simplifying -3(8x + 11) = 6(10 + 3x) + -2 Reorder the terms: -3(11 + 8x) = 6(10 + 3x) + -2 (11 * -3 + 8x * -3) = 6(10 + 3x) + -2 (-33 + -24x) = 6(10 + 3x) + -2 -33 + -24x = (10 * 6 + 3x * 6) + -2 -33 + -24x = (60 + 18x) + -2 Reorder the terms: -33 + -24x = 60 + -2 + 18x Combine like terms: 60 + -2 = 58 -33 + -24x = 58 + 18x Solving -33 + -24x = 58 + 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. -33 + -24x + -18x = 58 + 18x + -18x Combine like terms: -24x + -18x = -42x -33 + -42x = 58 + 18x + -18x Combine like terms: 18x + -18x = 0 -33 + -42x = 58 + 0 -33 + -42x = 58 Add '33' to each side of the equation. -33 + 33 + -42x = 58 + 33 Combine like terms: -33 + 33 = 0 0 + -42x = 58 + 33 -42x = 58 + 33 Combine like terms: 58 + 33 = 91 -42x = 91 Divide each side by '-42'. x = -2.166666667 Simplifying x = -2.166666667
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