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Simplifying 2x + 45 = 7x + -1(-2x) Reorder the terms: 45 + 2x = 7x + -1(-2x) Remove parenthesis around (-2x) 45 + 2x = 7x + -1 * -2x Multiply -1 * -2 45 + 2x = 7x + 2x Combine like terms: 7x + 2x = 9x 45 + 2x = 9x Solving 45 + 2x = 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 45 + 2x + -9x = 9x + -9x Combine like terms: 2x + -9x = -7x 45 + -7x = 9x + -9x Combine like terms: 9x + -9x = 0 45 + -7x = 0 Add '-45' to each side of the equation. 45 + -45 + -7x = 0 + -45 Combine like terms: 45 + -45 = 0 0 + -7x = 0 + -45 -7x = 0 + -45 Combine like terms: 0 + -45 = -45 -7x = -45 Divide each side by '-7'. x = 6.428571429 Simplifying x = 6.428571429
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