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Simplifying (x + -1.5) * 6 = x + 12 Reorder the terms: (-1.5 + x) * 6 = x + 12 Reorder the terms for easier multiplication: 6(-1.5 + x) = x + 12 (-1.5 * 6 + x * 6) = x + 12 (-9 + 6x) = x + 12 Reorder the terms: -9 + 6x = 12 + x Solving -9 + 6x = 12 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -9 + 6x + -1x = 12 + x + -1x Combine like terms: 6x + -1x = 5x -9 + 5x = 12 + x + -1x Combine like terms: x + -1x = 0 -9 + 5x = 12 + 0 -9 + 5x = 12 Add '9' to each side of the equation. -9 + 9 + 5x = 12 + 9 Combine like terms: -9 + 9 = 0 0 + 5x = 12 + 9 5x = 12 + 9 Combine like terms: 12 + 9 = 21 5x = 21 Divide each side by '5'. x = 4.2 Simplifying x = 4.2
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