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Simplifying 6x + -1(5x + 4) = 6x + -19 Reorder the terms: 6x + -1(4 + 5x) = 6x + -19 6x + (4 * -1 + 5x * -1) = 6x + -19 6x + (-4 + -5x) = 6x + -19 Reorder the terms: -4 + 6x + -5x = 6x + -19 Combine like terms: 6x + -5x = 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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