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Simplifying 5(x + 1) = 9x + -23 Reorder the terms: 5(1 + x) = 9x + -23 (1 * 5 + x * 5) = 9x + -23 (5 + 5x) = 9x + -23 Reorder the terms: 5 + 5x = -23 + 9x Solving 5 + 5x = -23 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 5 + 5x + -9x = -23 + 9x + -9x Combine like terms: 5x + -9x = -4x 5 + -4x = -23 + 9x + -9x Combine like terms: 9x + -9x = 0 5 + -4x = -23 + 0 5 + -4x = -23 Add '-5' to each side of the equation. 5 + -5 + -4x = -23 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = -23 + -5 -4x = -23 + -5 Combine like terms: -23 + -5 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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