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Simplifying 4x + -6x + -5 + 2 = 6x + -2 + 23 Reorder the terms: -5 + 2 + 4x + -6x = 6x + -2 + 23 Combine like terms: -5 + 2 = -3 -3 + 4x + -6x = 6x + -2 + 23 Combine like terms: 4x + -6x = -2x -3 + -2x = 6x + -2 + 23 Reorder the terms: -3 + -2x = -2 + 23 + 6x Combine like terms: -2 + 23 = 21 -3 + -2x = 21 + 6x Solving -3 + -2x = 21 + 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. -3 + -2x + -6x = 21 + 6x + -6x Combine like terms: -2x + -6x = -8x -3 + -8x = 21 + 6x + -6x Combine like terms: 6x + -6x = 0 -3 + -8x = 21 + 0 -3 + -8x = 21 Add '3' to each side of the equation. -3 + 3 + -8x = 21 + 3 Combine like terms: -3 + 3 = 0 0 + -8x = 21 + 3 -8x = 21 + 3 Combine like terms: 21 + 3 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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