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Simplifying x + -23 = 5(2x + 3) + -11 Reorder the terms: -23 + x = 5(2x + 3) + -11 Reorder the terms: -23 + x = 5(3 + 2x) + -11 -23 + x = (3 * 5 + 2x * 5) + -11 -23 + x = (15 + 10x) + -11 Reorder the terms: -23 + x = 15 + -11 + 10x Combine like terms: 15 + -11 = 4 -23 + x = 4 + 10x Solving -23 + x = 4 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -23 + x + -10x = 4 + 10x + -10x Combine like terms: x + -10x = -9x -23 + -9x = 4 + 10x + -10x Combine like terms: 10x + -10x = 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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