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Simplifying 45 + -3x = 5 + x Solving 45 + -3x = 5 + 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. 45 + -3x + -1x = 5 + x + -1x Combine like terms: -3x + -1x = -4x 45 + -4x = 5 + x + -1x Combine like terms: x + -1x = 0 45 + -4x = 5 + 0 45 + -4x = 5 Add '-45' to each side of the equation. 45 + -45 + -4x = 5 + -45 Combine like terms: 45 + -45 = 0 0 + -4x = 5 + -45 -4x = 5 + -45 Combine like terms: 5 + -45 = -40 -4x = -40 Divide each side by '-4'. x = 10 Simplifying x = 10
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