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Simplifying 6 = 1.5x + 0.5(x + -4) Reorder the terms: 6 = 1.5x + 0.5(-4 + x) 6 = 1.5x + (-4 * 0.5 + x * 0.5) 6 = 1.5x + (-2 + 0.5x) Reorder the terms: 6 = -2 + 1.5x + 0.5x Combine like terms: 1.5x + 0.5x = 2x 6 = -2 + 2x Solving 6 = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 6 + -2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 6 + -2x = -2 + 0 6 + -2x = -2 Add '-6' to each side of the equation. 6 + -6 + -2x = -2 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = -2 + -6 -2x = -2 + -6 Combine like terms: -2 + -6 = -8 -2x = -8 Divide each side by '-2'. x = 4 Simplifying x = 4
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