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Simplifying -23 + 6x = 5x + 2(5x + 2) Reorder the terms: -23 + 6x = 5x + 2(2 + 5x) -23 + 6x = 5x + (2 * 2 + 5x * 2) -23 + 6x = 5x + (4 + 10x) Reorder the terms: -23 + 6x = 4 + 5x + 10x Combine like terms: 5x + 10x = 15x -23 + 6x = 4 + 15x Solving -23 + 6x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -23 + 6x + -15x = 4 + 15x + -15x Combine like terms: 6x + -15x = -9x -23 + -9x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 -23 + -9x = 4 + 0 -23 + -9x = 4 Add '23' to each side of the equation. -23 + 23 + -9x = 4 + 23 Combine like terms: -23 + 23 = 0 0 + -9x = 4 + 23 -9x = 4 + 23 Combine like terms: 4 + 23 = 27 -9x = 27 Divide each side by '-9'. x = -3 Simplifying x = -3
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