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Simplifying 4x + 45 + 3x = 20 + -2x + -10 Reorder the terms: 45 + 4x + 3x = 20 + -2x + -10 Combine like terms: 4x + 3x = 7x 45 + 7x = 20 + -2x + -10 Reorder the terms: 45 + 7x = 20 + -10 + -2x Combine like terms: 20 + -10 = 10 45 + 7x = 10 + -2x Solving 45 + 7x = 10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 45 + 7x + 2x = 10 + -2x + 2x Combine like terms: 7x + 2x = 9x 45 + 9x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 45 + 9x = 10 + 0 45 + 9x = 10 Add '-45' to each side of the equation. 45 + -45 + 9x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 9x = 10 + -45 9x = 10 + -45 Combine like terms: 10 + -45 = -35 9x = -35 Divide each side by '9'. x = -3.888888889 Simplifying x = -3.888888889
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