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Simplifying 4x + 2x + -2x + 9 = x + 45 Reorder the terms: 9 + 4x + 2x + -2x = x + 45 Combine like terms: 4x + 2x = 6x 9 + 6x + -2x = x + 45 Combine like terms: 6x + -2x = 4x 9 + 4x = x + 45 Reorder the terms: 9 + 4x = 45 + x Solving 9 + 4x = 45 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 9 + 4x + -1x = 45 + x + -1x Combine like terms: 4x + -1x = 3x 9 + 3x = 45 + x + -1x Combine like terms: x + -1x = 0 9 + 3x = 45 + 0 9 + 3x = 45 Add '-9' to each side of the equation. 9 + -9 + 3x = 45 + -9 Combine like terms: 9 + -9 = 0 0 + 3x = 45 + -9 3x = 45 + -9 Combine like terms: 45 + -9 = 36 3x = 36 Divide each side by '3'. x = 12 Simplifying x = 12
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