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Simplifying 2 + -7(x + -1) = 3(x + -2) + -5(x + 3) Reorder the terms: 2 + -7(-1 + x) = 3(x + -2) + -5(x + 3) 2 + (-1 * -7 + x * -7) = 3(x + -2) + -5(x + 3) 2 + (7 + -7x) = 3(x + -2) + -5(x + 3) Combine like terms: 2 + 7 = 9 9 + -7x = 3(x + -2) + -5(x + 3) Reorder the terms: 9 + -7x = 3(-2 + x) + -5(x + 3) 9 + -7x = (-2 * 3 + x * 3) + -5(x + 3) 9 + -7x = (-6 + 3x) + -5(x + 3) Reorder the terms: 9 + -7x = -6 + 3x + -5(3 + x) 9 + -7x = -6 + 3x + (3 * -5 + x * -5) 9 + -7x = -6 + 3x + (-15 + -5x) Reorder the terms: 9 + -7x = -6 + -15 + 3x + -5x Combine like terms: -6 + -15 = -21 9 + -7x = -21 + 3x + -5x Combine like terms: 3x + -5x = -2x 9 + -7x = -21 + -2x Solving 9 + -7x = -21 + -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. 9 + -7x + 2x = -21 + -2x + 2x Combine like terms: -7x + 2x = -5x 9 + -5x = -21 + -2x + 2x Combine like terms: -2x + 2x = 0 9 + -5x = -21 + 0 9 + -5x = -21 Add '-9' to each side of the equation. 9 + -9 + -5x = -21 + -9 Combine like terms: 9 + -9 = 0 0 + -5x = -21 + -9 -5x = -21 + -9 Combine like terms: -21 + -9 = -30 -5x = -30 Divide each side by '-5'. x = 6 Simplifying x = 6
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