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Simplifying 6(0.5x + 14) = 5.5(4x + -2) + -3.5x Reorder the terms: 6(14 + 0.5x) = 5.5(4x + -2) + -3.5x (14 * 6 + 0.5x * 6) = 5.5(4x + -2) + -3.5x (84 + 3x) = 5.5(4x + -2) + -3.5x Reorder the terms: 84 + 3x = 5.5(-2 + 4x) + -3.5x 84 + 3x = (-2 * 5.5 + 4x * 5.5) + -3.5x 84 + 3x = (-11 + 22x) + -3.5x Combine like terms: 22x + -3.5x = 18.5x 84 + 3x = -11 + 18.5x Solving 84 + 3x = -11 + 18.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18.5x' to each side of the equation. 84 + 3x + -18.5x = -11 + 18.5x + -18.5x Combine like terms: 3x + -18.5x = -15.5x 84 + -15.5x = -11 + 18.5x + -18.5x Combine like terms: 18.5x + -18.5x = 0.0 84 + -15.5x = -11 + 0.0 84 + -15.5x = -11 Add '-84' to each side of the equation. 84 + -84 + -15.5x = -11 + -84 Combine like terms: 84 + -84 = 0 0 + -15.5x = -11 + -84 -15.5x = -11 + -84 Combine like terms: -11 + -84 = -95 -15.5x = -95 Divide each side by '-15.5'. x = 6.129032258 Simplifying x = 6.129032258
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