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Simplifying 4x + -6 = x + 7 + 2x + -15 Reorder the terms: -6 + 4x = x + 7 + 2x + -15 Reorder the terms: -6 + 4x = 7 + -15 + x + 2x Combine like terms: 7 + -15 = -8 -6 + 4x = -8 + x + 2x Combine like terms: x + 2x = 3x -6 + 4x = -8 + 3x Solving -6 + 4x = -8 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 4x + -3x = -8 + 3x + -3x Combine like terms: 4x + -3x = 1x -6 + 1x = -8 + 3x + -3x Combine like terms: 3x + -3x = 0 -6 + 1x = -8 + 0 -6 + 1x = -8 Add '6' to each side of the equation. -6 + 6 + 1x = -8 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = -8 + 6 1x = -8 + 6 Combine like terms: -8 + 6 = -2 1x = -2 Divide each side by '1'. x = -2 Simplifying x = -2
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