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Simplifying 2x + -5(x + -2) = -7 + 3x + 5 Reorder the terms: 2x + -5(-2 + x) = -7 + 3x + 5 2x + (-2 * -5 + x * -5) = -7 + 3x + 5 2x + (10 + -5x) = -7 + 3x + 5 Reorder the terms: 10 + 2x + -5x = -7 + 3x + 5 Combine like terms: 2x + -5x = -3x 10 + -3x = -7 + 3x + 5 Reorder the terms: 10 + -3x = -7 + 5 + 3x Combine like terms: -7 + 5 = -2 10 + -3x = -2 + 3x Solving 10 + -3x = -2 + 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. 10 + -3x + -3x = -2 + 3x + -3x Combine like terms: -3x + -3x = -6x 10 + -6x = -2 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -6x = -2 + 0 10 + -6x = -2 Add '-10' to each side of the equation. 10 + -10 + -6x = -2 + -10 Combine like terms: 10 + -10 = 0 0 + -6x = -2 + -10 -6x = -2 + -10 Combine like terms: -2 + -10 = -12 -6x = -12 Divide each side by '-6'. x = 2 Simplifying x = 2
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