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Simplifying 4x + -5 = 6x + -21 Reorder the terms: -5 + 4x = 6x + -21 Reorder the terms: -5 + 4x = -21 + 6x Solving -5 + 4x = -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. -5 + 4x + -6x = -21 + 6x + -6x Combine like terms: 4x + -6x = -2x -5 + -2x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + -2x = -21 + 0 -5 + -2x = -21 Add '5' to each side of the equation. -5 + 5 + -2x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + -2x = -21 + 5 -2x = -21 + 5 Combine like terms: -21 + 5 = -16 -2x = -16 Divide each side by '-2'. x = 8 Simplifying x = 8
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