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Simplifying 2x + -5(x + -3) = -7 + 3x + -2 Reorder the terms: 2x + -5(-3 + x) = -7 + 3x + -2 2x + (-3 * -5 + x * -5) = -7 + 3x + -2 2x + (15 + -5x) = -7 + 3x + -2 Reorder the terms: 15 + 2x + -5x = -7 + 3x + -2 Combine like terms: 2x + -5x = -3x 15 + -3x = -7 + 3x + -2 Reorder the terms: 15 + -3x = -7 + -2 + 3x Combine like terms: -7 + -2 = -9 15 + -3x = -9 + 3x Solving 15 + -3x = -9 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + -3x + -3x = -9 + 3x + -3x Combine like terms: -3x + -3x = -6x 15 + -6x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 15 + -6x = -9 + 0 15 + -6x = -9 Add '-15' to each side of the equation. 15 + -15 + -6x = -9 + -15 Combine like terms: 15 + -15 = 0 0 + -6x = -9 + -15 -6x = -9 + -15 Combine like terms: -9 + -15 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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