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Simplifying x + 45 = 4x + -45 Reorder the terms: 45 + x = 4x + -45 Reorder the terms: 45 + x = -45 + 4x Solving 45 + x = -45 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 45 + x + -4x = -45 + 4x + -4x Combine like terms: x + -4x = -3x 45 + -3x = -45 + 4x + -4x Combine like terms: 4x + -4x = 0 45 + -3x = -45 + 0 45 + -3x = -45 Add '-45' to each side of the equation. 45 + -45 + -3x = -45 + -45 Combine like terms: 45 + -45 = 0 0 + -3x = -45 + -45 -3x = -45 + -45 Combine like terms: -45 + -45 = -90 -3x = -90 Divide each side by '-3'. x = 30 Simplifying x = 30
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