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Simplifying 0.5(x + 6) = 4(x + -2) Reorder the terms: 0.5(6 + x) = 4(x + -2) (6 * 0.5 + x * 0.5) = 4(x + -2) (3 + 0.5x) = 4(x + -2) Reorder the terms: 3 + 0.5x = 4(-2 + x) 3 + 0.5x = (-2 * 4 + x * 4) 3 + 0.5x = (-8 + 4x) Solving 3 + 0.5x = -8 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 3 + 0.5x + -4x = -8 + 4x + -4x Combine like terms: 0.5x + -4x = -3.5x 3 + -3.5x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -3.5x = -8 + 0 3 + -3.5x = -8 Add '-3' to each side of the equation. 3 + -3 + -3.5x = -8 + -3 Combine like terms: 3 + -3 = 0 0 + -3.5x = -8 + -3 -3.5x = -8 + -3 Combine like terms: -8 + -3 = -11 -3.5x = -11 Divide each side by '-3.5'. x = 3.142857143 Simplifying x = 3.142857143
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