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Simplifying 45x + 12 + -5 = -21 + -1(-52x) Reorder the terms: 12 + -5 + 45x = -21 + -1(-52x) Combine like terms: 12 + -5 = 7 7 + 45x = -21 + -1(-52x) Remove parenthesis around (-52x) 7 + 45x = -21 + -1 * -52x Multiply -1 * -52 7 + 45x = -21 + 52x Solving 7 + 45x = -21 + 52x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-52x' to each side of the equation. 7 + 45x + -52x = -21 + 52x + -52x Combine like terms: 45x + -52x = -7x 7 + -7x = -21 + 52x + -52x Combine like terms: 52x + -52x = 0 7 + -7x = -21 + 0 7 + -7x = -21 Add '-7' to each side of the equation. 7 + -7 + -7x = -21 + -7 Combine like terms: 7 + -7 = 0 0 + -7x = -21 + -7 -7x = -21 + -7 Combine like terms: -21 + -7 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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