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Simplifying 5(x + -1) + 8 = x + 19 Reorder the terms: 5(-1 + x) + 8 = x + 19 (-1 * 5 + x * 5) + 8 = x + 19 (-5 + 5x) + 8 = x + 19 Reorder the terms: -5 + 8 + 5x = x + 19 Combine like terms: -5 + 8 = 3 3 + 5x = x + 19 Reorder the terms: 3 + 5x = 19 + x Solving 3 + 5x = 19 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 3 + 5x + -1x = 19 + x + -1x Combine like terms: 5x + -1x = 4x 3 + 4x = 19 + x + -1x Combine like terms: x + -1x = 0 3 + 4x = 19 + 0 3 + 4x = 19 Add '-3' to each side of the equation. 3 + -3 + 4x = 19 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 19 + -3 4x = 19 + -3 Combine like terms: 19 + -3 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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