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Simplifying 4x + 3x + x + -1 = 2x + -7 Reorder the terms: -1 + 4x + 3x + x = 2x + -7 Combine like terms: 4x + 3x = 7x -1 + 7x + x = 2x + -7 Combine like terms: 7x + x = 8x -1 + 8x = 2x + -7 Reorder the terms: -1 + 8x = -7 + 2x Solving -1 + 8x = -7 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 8x + -2x = -7 + 2x + -2x Combine like terms: 8x + -2x = 6x -1 + 6x = -7 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 6x = -7 + 0 -1 + 6x = -7 Add '1' to each side of the equation. -1 + 1 + 6x = -7 + 1 Combine like terms: -1 + 1 = 0 0 + 6x = -7 + 1 6x = -7 + 1 Combine like terms: -7 + 1 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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