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Simplifying 13x + -23 = 4x + 40 Reorder the terms: -23 + 13x = 4x + 40 Reorder the terms: -23 + 13x = 40 + 4x Solving -23 + 13x = 40 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -23 + 13x + -4x = 40 + 4x + -4x Combine like terms: 13x + -4x = 9x -23 + 9x = 40 + 4x + -4x Combine like terms: 4x + -4x = 0 -23 + 9x = 40 + 0 -23 + 9x = 40 Add '23' to each side of the equation. -23 + 23 + 9x = 40 + 23 Combine like terms: -23 + 23 = 0 0 + 9x = 40 + 23 9x = 40 + 23 Combine like terms: 40 + 23 = 63 9x = 63 Divide each side by '9'. x = 7 Simplifying x = 7
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