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Simplifying 3x + -1(2x + -4) = 6x + 19 Reorder the terms: 3x + -1(-4 + 2x) = 6x + 19 3x + (-4 * -1 + 2x * -1) = 6x + 19 3x + (4 + -2x) = 6x + 19 Reorder the terms: 4 + 3x + -2x = 6x + 19 Combine like terms: 3x + -2x = 1x 4 + 1x = 6x + 19 Reorder the terms: 4 + 1x = 19 + 6x Solving 4 + 1x = 19 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 4 + 1x + -6x = 19 + 6x + -6x Combine like terms: 1x + -6x = -5x 4 + -5x = 19 + 6x + -6x Combine like terms: 6x + -6x = 0 4 + -5x = 19 + 0 4 + -5x = 19 Add '-4' to each side of the equation. 4 + -4 + -5x = 19 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = 19 + -4 -5x = 19 + -4 Combine like terms: 19 + -4 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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