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Simplifying 0.5(13x + 12) = -8(6 + -1x) Reorder the terms: 0.5(12 + 13x) = -8(6 + -1x) (12 * 0.5 + 13x * 0.5) = -8(6 + -1x) (6 + 6.5x) = -8(6 + -1x) 6 + 6.5x = (6 * -8 + -1x * -8) 6 + 6.5x = (-48 + 8x) Solving 6 + 6.5x = -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. 6 + 6.5x + -8x = -48 + 8x + -8x Combine like terms: 6.5x + -8x = -1.5x 6 + -1.5x = -48 + 8x + -8x Combine like terms: 8x + -8x = 0 6 + -1.5x = -48 + 0 6 + -1.5x = -48 Add '-6' to each side of the equation. 6 + -6 + -1.5x = -48 + -6 Combine like terms: 6 + -6 = 0 0 + -1.5x = -48 + -6 -1.5x = -48 + -6 Combine like terms: -48 + -6 = -54 -1.5x = -54 Divide each side by '-1.5'. x = 36 Simplifying x = 36
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