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Simplifying (3x + 63) = (7x + -45) Reorder the terms: (63 + 3x) = (7x + -45) Remove parenthesis around (63 + 3x) 63 + 3x = (7x + -45) Reorder the terms: 63 + 3x = (-45 + 7x) Remove parenthesis around (-45 + 7x) 63 + 3x = -45 + 7x Solving 63 + 3x = -45 + 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. 63 + 3x + -7x = -45 + 7x + -7x Combine like terms: 3x + -7x = -4x 63 + -4x = -45 + 7x + -7x Combine like terms: 7x + -7x = 0 63 + -4x = -45 + 0 63 + -4x = -45 Add '-63' to each side of the equation. 63 + -63 + -4x = -45 + -63 Combine like terms: 63 + -63 = 0 0 + -4x = -45 + -63 -4x = -45 + -63 Combine like terms: -45 + -63 = -108 -4x = -108 Divide each side by '-4'. x = 27 Simplifying x = 27
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