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Simplifying 3(1 + 11x) = 8(-12 + 6x) + -1r (1 * 3 + 11x * 3) = 8(-12 + 6x) + -1r (3 + 33x) = 8(-12 + 6x) + -1r 3 + 33x = (-12 * 8 + 6x * 8) + -1r 3 + 33x = (-96 + 48x) + -1r Reorder the terms: 3 + 33x = -96 + -1r + 48x Solving 3 + 33x = -96 + -1r + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 3 + 33x + -48x = -96 + -1r + 48x + -48x Combine like terms: 33x + -48x = -15x 3 + -15x = -96 + -1r + 48x + -48x Combine like terms: 48x + -48x = 0 3 + -15x = -96 + -1r + 0 3 + -15x = -96 + -1r Add '-3' to each side of the equation. 3 + -3 + -15x = -96 + -3 + -1r Combine like terms: 3 + -3 = 0 0 + -15x = -96 + -3 + -1r -15x = -96 + -3 + -1r Combine like terms: -96 + -3 = -99 -15x = -99 + -1r Divide each side by '-15'. x = 6.6 + 0.06666666667r Simplifying x = 6.6 + 0.06666666667r
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