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Simplifying 19 = -4(-2 + x) + -1(x + -6) 19 = (-2 * -4 + x * -4) + -1(x + -6) 19 = (8 + -4x) + -1(x + -6) Reorder the terms: 19 = 8 + -4x + -1(-6 + x) 19 = 8 + -4x + (-6 * -1 + x * -1) 19 = 8 + -4x + (6 + -1x) Reorder the terms: 19 = 8 + 6 + -4x + -1x Combine like terms: 8 + 6 = 14 19 = 14 + -4x + -1x Combine like terms: -4x + -1x = -5x 19 = 14 + -5x Solving 19 = 14 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 19 + 5x = 14 + -5x + 5x Combine like terms: -5x + 5x = 0 19 + 5x = 14 + 0 19 + 5x = 14 Add '-19' to each side of the equation. 19 + -19 + 5x = 14 + -19 Combine like terms: 19 + -19 = 0 0 + 5x = 14 + -19 5x = 14 + -19 Combine like terms: 14 + -19 = -5 5x = -5 Divide each side by '5'. x = -1 Simplifying x = -1
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