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Simplifying x + -4x + -1 = 7x + 19 Reorder the terms: -1 + x + -4x = 7x + 19 Combine like terms: x + -4x = -3x -1 + -3x = 7x + 19 Reorder the terms: -1 + -3x = 19 + 7x Solving -1 + -3x = 19 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -1 + -3x + -7x = 19 + 7x + -7x Combine like terms: -3x + -7x = -10x -1 + -10x = 19 + 7x + -7x Combine like terms: 7x + -7x = 0 -1 + -10x = 19 + 0 -1 + -10x = 19 Add '1' to each side of the equation. -1 + 1 + -10x = 19 + 1 Combine like terms: -1 + 1 = 0 0 + -10x = 19 + 1 -10x = 19 + 1 Combine like terms: 19 + 1 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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