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Simplifying 2(x + -2) + 16 = 5x + -9 Reorder the terms: 2(-2 + x) + 16 = 5x + -9 (-2 * 2 + x * 2) + 16 = 5x + -9 (-4 + 2x) + 16 = 5x + -9 Reorder the terms: -4 + 16 + 2x = 5x + -9 Combine like terms: -4 + 16 = 12 12 + 2x = 5x + -9 Reorder the terms: 12 + 2x = -9 + 5x Solving 12 + 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. 12 + 2x + -5x = -9 + 5x + -5x Combine like terms: 2x + -5x = -3x 12 + -3x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 12 + -3x = -9 + 0 12 + -3x = -9 Add '-12' to each side of the equation. 12 + -12 + -3x = -9 + -12 Combine like terms: 12 + -12 = 0 0 + -3x = -9 + -12 -3x = -9 + -12 Combine like terms: -9 + -12 = -21 -3x = -21 Divide each side by '-3'. x = 7 Simplifying x = 7
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