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Simplifying 5x + -9 = 2[x + 12] + -3 Reorder the terms: -9 + 5x = 2[x + 12] + -3 Reorder the terms: -9 + 5x = 2[12 + x] + -3 -9 + 5x = [12 * 2 + x * 2] + -3 -9 + 5x = [24 + 2x] + -3 Reorder the terms: -9 + 5x = 24 + -3 + 2x Combine like terms: 24 + -3 = 21 -9 + 5x = 21 + 2x Solving -9 + 5x = 21 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -9 + 5x + -2x = 21 + 2x + -2x Combine like terms: 5x + -2x = 3x -9 + 3x = 21 + 2x + -2x Combine like terms: 2x + -2x = 0 -9 + 3x = 21 + 0 -9 + 3x = 21 Add '9' to each side of the equation. -9 + 9 + 3x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 21 + 9 3x = 21 + 9 Combine like terms: 21 + 9 = 30 3x = 30 Divide each side by '3'. x = 10 Simplifying x = 10
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