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Simplifying 3(x + -7) + -3(x + 5) = 7 + 5x Reorder the terms: 3(-7 + x) + -3(x + 5) = 7 + 5x (-7 * 3 + x * 3) + -3(x + 5) = 7 + 5x (-21 + 3x) + -3(x + 5) = 7 + 5x Reorder the terms: -21 + 3x + -3(5 + x) = 7 + 5x -21 + 3x + (5 * -3 + x * -3) = 7 + 5x -21 + 3x + (-15 + -3x) = 7 + 5x Reorder the terms: -21 + -15 + 3x + -3x = 7 + 5x Combine like terms: -21 + -15 = -36 -36 + 3x + -3x = 7 + 5x Combine like terms: 3x + -3x = 0 -36 + 0 = 7 + 5x -36 = 7 + 5x Solving -36 = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -36 + -5x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 -36 + -5x = 7 + 0 -36 + -5x = 7 Add '36' to each side of the equation. -36 + 36 + -5x = 7 + 36 Combine like terms: -36 + 36 = 0 0 + -5x = 7 + 36 -5x = 7 + 36 Combine like terms: 7 + 36 = 43 -5x = 43 Divide each side by '-5'. x = -8.6 Simplifying x = -8.6
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