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Simplifying 3x + -19 + 2x = 2(5x + -1) + -4x Reorder the terms: -19 + 3x + 2x = 2(5x + -1) + -4x Combine like terms: 3x + 2x = 5x -19 + 5x = 2(5x + -1) + -4x Reorder the terms: -19 + 5x = 2(-1 + 5x) + -4x -19 + 5x = (-1 * 2 + 5x * 2) + -4x -19 + 5x = (-2 + 10x) + -4x Combine like terms: 10x + -4x = 6x -19 + 5x = -2 + 6x Solving -19 + 5x = -2 + 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. -19 + 5x + -6x = -2 + 6x + -6x Combine like terms: 5x + -6x = -1x -19 + -1x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -19 + -1x = -2 + 0 -19 + -1x = -2 Add '19' to each side of the equation. -19 + 19 + -1x = -2 + 19 Combine like terms: -19 + 19 = 0 0 + -1x = -2 + 19 -1x = -2 + 19 Combine like terms: -2 + 19 = 17 -1x = 17 Divide each side by '-1'. x = -17 Simplifying x = -17
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