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Simplifying 3x + 40 + -6x = 3 + -7x + 5 Reorder the terms: 40 + 3x + -6x = 3 + -7x + 5 Combine like terms: 3x + -6x = -3x 40 + -3x = 3 + -7x + 5 Reorder the terms: 40 + -3x = 3 + 5 + -7x Combine like terms: 3 + 5 = 8 40 + -3x = 8 + -7x Solving 40 + -3x = 8 + -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 + -3x + 7x = 8 + -7x + 7x Combine like terms: -3x + 7x = 4x 40 + 4x = 8 + -7x + 7x Combine like terms: -7x + 7x = 0 40 + 4x = 8 + 0 40 + 4x = 8 Add '-40' to each side of the equation. 40 + -40 + 4x = 8 + -40 Combine like terms: 40 + -40 = 0 0 + 4x = 8 + -40 4x = 8 + -40 Combine like terms: 8 + -40 = -32 4x = -32 Divide each side by '4'. x = -8 Simplifying x = -8
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