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Simplifying 1.5(x + 4) = 0.5(x + -2) + 6 Reorder the terms: 1.5(4 + x) = 0.5(x + -2) + 6 (4 * 1.5 + x * 1.5) = 0.5(x + -2) + 6 (6 + 1.5x) = 0.5(x + -2) + 6 Reorder the terms: 6 + 1.5x = 0.5(-2 + x) + 6 6 + 1.5x = (-2 * 0.5 + x * 0.5) + 6 6 + 1.5x = (-1 + 0.5x) + 6 Reorder the terms: 6 + 1.5x = -1 + 6 + 0.5x Combine like terms: -1 + 6 = 5 6 + 1.5x = 5 + 0.5x Solving 6 + 1.5x = 5 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 6 + 1.5x + -0.5x = 5 + 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 6 + 1x = 5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 6 + 1x = 5 + 0.0 6 + 1x = 5 Add '-6' to each side of the equation. 6 + -6 + 1x = 5 + -6 Combine like terms: 6 + -6 = 0 0 + 1x = 5 + -6 1x = 5 + -6 Combine like terms: 5 + -6 = -1 1x = -1 Divide each side by '1'. x = -1 Simplifying x = -1
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