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Simplifying 5x + -3(x + -3) = -2 + 5x + -7 Reorder the terms: 5x + -3(-3 + x) = -2 + 5x + -7 5x + (-3 * -3 + x * -3) = -2 + 5x + -7 5x + (9 + -3x) = -2 + 5x + -7 Reorder the terms: 9 + 5x + -3x = -2 + 5x + -7 Combine like terms: 5x + -3x = 2x 9 + 2x = -2 + 5x + -7 Reorder the terms: 9 + 2x = -2 + -7 + 5x Combine like terms: -2 + -7 = -9 9 + 2x = -9 + 5x Solving 9 + 2x = -9 + 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. 9 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x 9 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 9 + -3x = -9 + 0 9 + -3x = -9 Add '-9' to each side of the equation. 9 + -9 + -3x = -9 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = -9 + -9 -3x = -9 + -9 Combine like terms: -9 + -9 = -18 -3x = -18 Divide each side by '-3'. x = 6 Simplifying x = 6
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