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Simplifying 13x + 23 = 14(x + 3) Reorder the terms: 23 + 13x = 14(x + 3) Reorder the terms: 23 + 13x = 14(3 + x) 23 + 13x = (3 * 14 + x * 14) 23 + 13x = (42 + 14x) Solving 23 + 13x = 42 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 23 + 13x + -14x = 42 + 14x + -14x Combine like terms: 13x + -14x = -1x 23 + -1x = 42 + 14x + -14x Combine like terms: 14x + -14x = 0 23 + -1x = 42 + 0 23 + -1x = 42 Add '-23' to each side of the equation. 23 + -23 + -1x = 42 + -23 Combine like terms: 23 + -23 = 0 0 + -1x = 42 + -23 -1x = 42 + -23 Combine like terms: 42 + -23 = 19 -1x = 19 Divide each side by '-1'. x = -19 Simplifying x = -19
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