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Simplifying 2x + -45 = 6x + 7(x + -8) Reorder the terms: -45 + 2x = 6x + 7(x + -8) Reorder the terms: -45 + 2x = 6x + 7(-8 + x) -45 + 2x = 6x + (-8 * 7 + x * 7) -45 + 2x = 6x + (-56 + 7x) Reorder the terms: -45 + 2x = -56 + 6x + 7x Combine like terms: 6x + 7x = 13x -45 + 2x = -56 + 13x Solving -45 + 2x = -56 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -45 + 2x + -13x = -56 + 13x + -13x Combine like terms: 2x + -13x = -11x -45 + -11x = -56 + 13x + -13x Combine like terms: 13x + -13x = 0 -45 + -11x = -56 + 0 -45 + -11x = -56 Add '45' to each side of the equation. -45 + 45 + -11x = -56 + 45 Combine like terms: -45 + 45 = 0 0 + -11x = -56 + 45 -11x = -56 + 45 Combine like terms: -56 + 45 = -11 -11x = -11 Divide each side by '-11'. x = 1 Simplifying x = 1
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