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Simplifying -2(x + -2) + 9 = 3x + -7 Reorder the terms: -2(-2 + x) + 9 = 3x + -7 (-2 * -2 + x * -2) + 9 = 3x + -7 (4 + -2x) + 9 = 3x + -7 Reorder the terms: 4 + 9 + -2x = 3x + -7 Combine like terms: 4 + 9 = 13 13 + -2x = 3x + -7 Reorder the terms: 13 + -2x = -7 + 3x Solving 13 + -2x = -7 + 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. 13 + -2x + -3x = -7 + 3x + -3x Combine like terms: -2x + -3x = -5x 13 + -5x = -7 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + -5x = -7 + 0 13 + -5x = -7 Add '-13' to each side of the equation. 13 + -13 + -5x = -7 + -13 Combine like terms: 13 + -13 = 0 0 + -5x = -7 + -13 -5x = -7 + -13 Combine like terms: -7 + -13 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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