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Simplifying 12x + -6 = 40x + 15 Reorder the terms: -6 + 12x = 40x + 15 Reorder the terms: -6 + 12x = 15 + 40x Solving -6 + 12x = 15 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. -6 + 12x + -40x = 15 + 40x + -40x Combine like terms: 12x + -40x = -28x -6 + -28x = 15 + 40x + -40x Combine like terms: 40x + -40x = 0 -6 + -28x = 15 + 0 -6 + -28x = 15 Add '6' to each side of the equation. -6 + 6 + -28x = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -28x = 15 + 6 -28x = 15 + 6 Combine like terms: 15 + 6 = 21 -28x = 21 Divide each side by '-28'. x = -0.75 Simplifying x = -0.75
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