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Simplifying 7x + -23 = 40x + 12 Reorder the terms: -23 + 7x = 40x + 12 Reorder the terms: -23 + 7x = 12 + 40x Solving -23 + 7x = 12 + 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. -23 + 7x + -40x = 12 + 40x + -40x Combine like terms: 7x + -40x = -33x -23 + -33x = 12 + 40x + -40x Combine like terms: 40x + -40x = 0 -23 + -33x = 12 + 0 -23 + -33x = 12 Add '23' to each side of the equation. -23 + 23 + -33x = 12 + 23 Combine like terms: -23 + 23 = 0 0 + -33x = 12 + 23 -33x = 12 + 23 Combine like terms: 12 + 23 = 35 -33x = 35 Divide each side by '-33'. x = -1.060606061 Simplifying x = -1.060606061
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