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Simplifying 0.33x + 4 = -8(6 + -1x) Reorder the terms: 4 + 0.33x = -8(6 + -1x) 4 + 0.33x = (6 * -8 + -1x * -8) 4 + 0.33x = (-48 + 8x) Solving 4 + 0.33x = -48 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 4 + 0.33x + -8x = -48 + 8x + -8x Combine like terms: 0.33x + -8x = -7.67x 4 + -7.67x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 4 + -7.67x = -48 + 0 4 + -7.67x = -48 Add '-4' to each side of the equation. 4 + -4 + -7.67x = -48 + -4 Combine like terms: 4 + -4 = 0 0 + -7.67x = -48 + -4 -7.67x = -48 + -4 Combine like terms: -48 + -4 = -52 -7.67x = -52 Divide each side by '-7.67'. x = 6.779661017 Simplifying x = 6.779661017
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