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Simplifying 3(x + 5) + -3(-8x + -7) = -45 Reorder the terms: 3(5 + x) + -3(-8x + -7) = -45 (5 * 3 + x * 3) + -3(-8x + -7) = -45 (15 + 3x) + -3(-8x + -7) = -45 Reorder the terms: 15 + 3x + -3(-7 + -8x) = -45 15 + 3x + (-7 * -3 + -8x * -3) = -45 15 + 3x + (21 + 24x) = -45 Reorder the terms: 15 + 21 + 3x + 24x = -45 Combine like terms: 15 + 21 = 36 36 + 3x + 24x = -45 Combine like terms: 3x + 24x = 27x 36 + 27x = -45 Solving 36 + 27x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -36 + 27x = -45 + -36 Combine like terms: 36 + -36 = 0 0 + 27x = -45 + -36 27x = -45 + -36 Combine like terms: -45 + -36 = -81 27x = -81 Divide each side by '27'. x = -3 Simplifying x = -3
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