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Simplifying 3x + 40 + -5x = 1 + -7x + 4 Reorder the terms: 40 + 3x + -5x = 1 + -7x + 4 Combine like terms: 3x + -5x = -2x 40 + -2x = 1 + -7x + 4 Reorder the terms: 40 + -2x = 1 + 4 + -7x Combine like terms: 1 + 4 = 5 40 + -2x = 5 + -7x Solving 40 + -2x = 5 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 40 + -2x + 7x = 5 + -7x + 7x Combine like terms: -2x + 7x = 5x 40 + 5x = 5 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 5x = 5 + 0 40 + 5x = 5 Add '-40' to each side of the equation. 40 + -40 + 5x = 5 + -40 Combine like terms: 40 + -40 = 0 0 + 5x = 5 + -40 5x = 5 + -40 Combine like terms: 5 + -40 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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