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Simplifying 19(x + 11) + -7 = 5x + 35 Reorder the terms: 19(11 + x) + -7 = 5x + 35 (11 * 19 + x * 19) + -7 = 5x + 35 (209 + 19x) + -7 = 5x + 35 Reorder the terms: 209 + -7 + 19x = 5x + 35 Combine like terms: 209 + -7 = 202 202 + 19x = 5x + 35 Reorder the terms: 202 + 19x = 35 + 5x Solving 202 + 19x = 35 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 202 + 19x + -5x = 35 + 5x + -5x Combine like terms: 19x + -5x = 14x 202 + 14x = 35 + 5x + -5x Combine like terms: 5x + -5x = 0 202 + 14x = 35 + 0 202 + 14x = 35 Add '-202' to each side of the equation. 202 + -202 + 14x = 35 + -202 Combine like terms: 202 + -202 = 0 0 + 14x = 35 + -202 14x = 35 + -202 Combine like terms: 35 + -202 = -167 14x = -167 Divide each side by '14'. x = -11.92857143 Simplifying x = -11.92857143
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