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Simplifying 7x + 14 = 19 + -1(x + -11) Reorder the terms: 14 + 7x = 19 + -1(x + -11) Reorder the terms: 14 + 7x = 19 + -1(-11 + x) 14 + 7x = 19 + (-11 * -1 + x * -1) 14 + 7x = 19 + (11 + -1x) Combine like terms: 19 + 11 = 30 14 + 7x = 30 + -1x Solving 14 + 7x = 30 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 14 + 7x + x = 30 + -1x + x Combine like terms: 7x + x = 8x 14 + 8x = 30 + -1x + x Combine like terms: -1x + x = 0 14 + 8x = 30 + 0 14 + 8x = 30 Add '-14' to each side of the equation. 14 + -14 + 8x = 30 + -14 Combine like terms: 14 + -14 = 0 0 + 8x = 30 + -14 8x = 30 + -14 Combine like terms: 30 + -14 = 16 8x = 16 Divide each side by '8'. x = 2 Simplifying x = 2
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