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