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Simplifying 0.5(14 + x) = 8(6 + -1x) (14 * 0.5 + x * 0.5) = 8(6 + -1x) (7 + 0.5x) = 8(6 + -1x) 7 + 0.5x = (6 * 8 + -1x * 8) 7 + 0.5x = (48 + -8x) Solving 7 + 0.5x = 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. 7 + 0.5x + 8x = 48 + -8x + 8x Combine like terms: 0.5x + 8x = 8.5x 7 + 8.5x = 48 + -8x + 8x Combine like terms: -8x + 8x = 0 7 + 8.5x = 48 + 0 7 + 8.5x = 48 Add '-7' to each side of the equation. 7 + -7 + 8.5x = 48 + -7 Combine like terms: 7 + -7 = 0 0 + 8.5x = 48 + -7 8.5x = 48 + -7 Combine like terms: 48 + -7 = 41 8.5x = 41 Divide each side by '8.5'. x = 4.823529412 Simplifying x = 4.823529412
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