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Simplifying 4x + 45 = 7x + 6 Reorder the terms: 45 + 4x = 7x + 6 Reorder the terms: 45 + 4x = 6 + 7x Solving 45 + 4x = 6 + 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. 45 + 4x + -7x = 6 + 7x + -7x Combine like terms: 4x + -7x = -3x 45 + -3x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 45 + -3x = 6 + 0 45 + -3x = 6 Add '-45' to each side of the equation. 45 + -45 + -3x = 6 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = 6 + -45 -3x = 6 + -45 Combine like terms: 6 + -45 = -39 -3x = -39 Divide each side by '-3'. x = 13 Simplifying x = 13
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