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Simplifying 10x + 19 + 3x = 6(9 + x) + -14 Reorder the terms: 19 + 10x + 3x = 6(9 + x) + -14 Combine like terms: 10x + 3x = 13x 19 + 13x = 6(9 + x) + -14 19 + 13x = (9 * 6 + x * 6) + -14 19 + 13x = (54 + 6x) + -14 Reorder the terms: 19 + 13x = 54 + -14 + 6x Combine like terms: 54 + -14 = 40 19 + 13x = 40 + 6x Solving 19 + 13x = 40 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 19 + 13x + -6x = 40 + 6x + -6x Combine like terms: 13x + -6x = 7x 19 + 7x = 40 + 6x + -6x Combine like terms: 6x + -6x = 0 19 + 7x = 40 + 0 19 + 7x = 40 Add '-19' to each side of the equation. 19 + -19 + 7x = 40 + -19 Combine like terms: 19 + -19 = 0 0 + 7x = 40 + -19 7x = 40 + -19 Combine like terms: 40 + -19 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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