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Simplifying 2x + -5(x + -3) = -2 + 5x + -7 Reorder the terms: 2x + -5(-3 + x) = -2 + 5x + -7 2x + (-3 * -5 + x * -5) = -2 + 5x + -7 2x + (15 + -5x) = -2 + 5x + -7 Reorder the terms: 15 + 2x + -5x = -2 + 5x + -7 Combine like terms: 2x + -5x = -3x 15 + -3x = -2 + 5x + -7 Reorder the terms: 15 + -3x = -2 + -7 + 5x Combine like terms: -2 + -7 = -9 15 + -3x = -9 + 5x Solving 15 + -3x = -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. 15 + -3x + -5x = -9 + 5x + -5x Combine like terms: -3x + -5x = -8x 15 + -8x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + -8x = -9 + 0 15 + -8x = -9 Add '-15' to each side of the equation. 15 + -15 + -8x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -9 + -15 -8x = -9 + -15 Combine like terms: -9 + -15 = -24 -8x = -24 Divide each side by '-8'. x = 3 Simplifying x = 3
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