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Simplifying -3x + -19 = -2x + 4(1 + -6x) Reorder the terms: -19 + -3x = -2x + 4(1 + -6x) -19 + -3x = -2x + (1 * 4 + -6x * 4) -19 + -3x = -2x + (4 + -24x) Reorder the terms: -19 + -3x = 4 + -2x + -24x Combine like terms: -2x + -24x = -26x -19 + -3x = 4 + -26x Solving -19 + -3x = 4 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -19 + -3x + 26x = 4 + -26x + 26x Combine like terms: -3x + 26x = 23x -19 + 23x = 4 + -26x + 26x Combine like terms: -26x + 26x = 0 -19 + 23x = 4 + 0 -19 + 23x = 4 Add '19' to each side of the equation. -19 + 19 + 23x = 4 + 19 Combine like terms: -19 + 19 = 0 0 + 23x = 4 + 19 23x = 4 + 19 Combine like terms: 4 + 19 = 23 23x = 23 Divide each side by '23'. x = 1 Simplifying x = 1
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