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Simplifying 7x + -4 + 3x + -6 = 45 + -1x Reorder the terms: -4 + -6 + 7x + 3x = 45 + -1x Combine like terms: -4 + -6 = -10 -10 + 7x + 3x = 45 + -1x Combine like terms: 7x + 3x = 10x -10 + 10x = 45 + -1x Solving -10 + 10x = 45 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -10 + 10x + x = 45 + -1x + x Combine like terms: 10x + x = 11x -10 + 11x = 45 + -1x + x Combine like terms: -1x + x = 0 -10 + 11x = 45 + 0 -10 + 11x = 45 Add '10' to each side of the equation. -10 + 10 + 11x = 45 + 10 Combine like terms: -10 + 10 = 0 0 + 11x = 45 + 10 11x = 45 + 10 Combine like terms: 45 + 10 = 55 11x = 55 Divide each side by '11'. x = 5 Simplifying x = 5
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