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Simplifying 19 + -1(x + 5) = 7x + 2 Reorder the terms: 19 + -1(5 + x) = 7x + 2 19 + (5 * -1 + x * -1) = 7x + 2 19 + (-5 + -1x) = 7x + 2 Combine like terms: 19 + -5 = 14 14 + -1x = 7x + 2 Reorder the terms: 14 + -1x = 2 + 7x Solving 14 + -1x = 2 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 14 + -1x + -7x = 2 + 7x + -7x Combine like terms: -1x + -7x = -8x 14 + -8x = 2 + 7x + -7x Combine like terms: 7x + -7x = 0 14 + -8x = 2 + 0 14 + -8x = 2 Add '-14' to each side of the equation. 14 + -14 + -8x = 2 + -14 Combine like terms: 14 + -14 = 0 0 + -8x = 2 + -14 -8x = 2 + -14 Combine like terms: 2 + -14 = -12 -8x = -12 Divide each side by '-8'. x = 1.5 Simplifying x = 1.5
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