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Simplifying 3x + -5(3x + -7) = 2(x + 9) + 45 Reorder the terms: 3x + -5(-7 + 3x) = 2(x + 9) + 45 3x + (-7 * -5 + 3x * -5) = 2(x + 9) + 45 3x + (35 + -15x) = 2(x + 9) + 45 Reorder the terms: 35 + 3x + -15x = 2(x + 9) + 45 Combine like terms: 3x + -15x = -12x 35 + -12x = 2(x + 9) + 45 Reorder the terms: 35 + -12x = 2(9 + x) + 45 35 + -12x = (9 * 2 + x * 2) + 45 35 + -12x = (18 + 2x) + 45 Reorder the terms: 35 + -12x = 18 + 45 + 2x Combine like terms: 18 + 45 = 63 35 + -12x = 63 + 2x Solving 35 + -12x = 63 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 35 + -12x + -2x = 63 + 2x + -2x Combine like terms: -12x + -2x = -14x 35 + -14x = 63 + 2x + -2x Combine like terms: 2x + -2x = 0 35 + -14x = 63 + 0 35 + -14x = 63 Add '-35' to each side of the equation. 35 + -35 + -14x = 63 + -35 Combine like terms: 35 + -35 = 0 0 + -14x = 63 + -35 -14x = 63 + -35 Combine like terms: 63 + -35 = 28 -14x = 28 Divide each side by '-14'. x = -2 Simplifying x = -2
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