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Simplifying 1.5x + 12 = 6x + 40 Reorder the terms: 12 + 1.5x = 6x + 40 Reorder the terms: 12 + 1.5x = 40 + 6x Solving 12 + 1.5x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 12 + 1.5x + -6x = 40 + 6x + -6x Combine like terms: 1.5x + -6x = -4.5x 12 + -4.5x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -4.5x = 40 + 0 12 + -4.5x = 40 Add '-12' to each side of the equation. 12 + -12 + -4.5x = 40 + -12 Combine like terms: 12 + -12 = 0 0 + -4.5x = 40 + -12 -4.5x = 40 + -12 Combine like terms: 40 + -12 = 28 -4.5x = 28 Divide each side by '-4.5'. x = -6.222222222 Simplifying x = -6.222222222
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