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Simplifying 4x + 3 = -2x + 45 Reorder the terms: 3 + 4x = -2x + 45 Reorder the terms: 3 + 4x = 45 + -2x Solving 3 + 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. 3 + 4x + 2x = 45 + -2x + 2x Combine like terms: 4x + 2x = 6x 3 + 6x = 45 + -2x + 2x Combine like terms: -2x + 2x = 0 3 + 6x = 45 + 0 3 + 6x = 45 Add '-3' to each side of the equation. 3 + -3 + 6x = 45 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = 45 + -3 6x = 45 + -3 Combine like terms: 45 + -3 = 42 6x = 42 Divide each side by '6'. x = 7 Simplifying x = 7
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