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Simplifying 4x + 10 = 45 + -2x Reorder the terms: 10 + 4x = 45 + -2x Solving 10 + 4x = 45 + -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. 10 + 4x + 2x = 45 + -2x + 2x Combine like terms: 4x + 2x = 6x 10 + 6x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 10 + 6x = 45 + 0 10 + 6x = 45 Add '-10' to each side of the equation. 10 + -10 + 6x = 45 + -10 Combine like terms: 10 + -10 = 0 0 + 6x = 45 + -10 6x = 45 + -10 Combine like terms: 45 + -10 = 35 6x = 35 Divide each side by '6'. x = 5.833333333 Simplifying x = 5.833333333
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