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Simplifying 19 = 5(x + -2) + -1(x + -5) Reorder the terms: 19 = 5(-2 + x) + -1(x + -5) 19 = (-2 * 5 + x * 5) + -1(x + -5) 19 = (-10 + 5x) + -1(x + -5) Reorder the terms: 19 = -10 + 5x + -1(-5 + x) 19 = -10 + 5x + (-5 * -1 + x * -1) 19 = -10 + 5x + (5 + -1x) Reorder the terms: 19 = -10 + 5 + 5x + -1x Combine like terms: -10 + 5 = -5 19 = -5 + 5x + -1x Combine like terms: 5x + -1x = 4x 19 = -5 + 4x Solving 19 = -5 + 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 = -5 + 4x + -4x Combine like terms: 4x + -4x = 0 19 + -4x = -5 + 0 19 + -4x = -5 Add '-19' to each side of the equation. 19 + -19 + -4x = -5 + -19 Combine like terms: 19 + -19 = 0 0 + -4x = -5 + -19 -4x = -5 + -19 Combine like terms: -5 + -19 = -24 -4x = -24 Divide each side by '-4'. x = 6 Simplifying x = 6
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