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Simplifying 2(2x + 19) + -19 = 9(13 + -1x) + 21 Reorder the terms: 2(19 + 2x) + -19 = 9(13 + -1x) + 21 (19 * 2 + 2x * 2) + -19 = 9(13 + -1x) + 21 (38 + 4x) + -19 = 9(13 + -1x) + 21 Reorder the terms: 38 + -19 + 4x = 9(13 + -1x) + 21 Combine like terms: 38 + -19 = 19 19 + 4x = 9(13 + -1x) + 21 19 + 4x = (13 * 9 + -1x * 9) + 21 19 + 4x = (117 + -9x) + 21 Reorder the terms: 19 + 4x = 117 + 21 + -9x Combine like terms: 117 + 21 = 138 19 + 4x = 138 + -9x Solving 19 + 4x = 138 + -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. 19 + 4x + 9x = 138 + -9x + 9x Combine like terms: 4x + 9x = 13x 19 + 13x = 138 + -9x + 9x Combine like terms: -9x + 9x = 0 19 + 13x = 138 + 0 19 + 13x = 138 Add '-19' to each side of the equation. 19 + -19 + 13x = 138 + -19 Combine like terms: 19 + -19 = 0 0 + 13x = 138 + -19 13x = 138 + -19 Combine like terms: 138 + -19 = 119 13x = 119 Divide each side by '13'. x = 9.153846154 Simplifying x = 9.153846154
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