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Simplifying 5x + -6x + 2 = 3x + -21 Reorder the terms: 2 + 5x + -6x = 3x + -21 Combine like terms: 5x + -6x = -1x 2 + -1x = 3x + -21 Reorder the terms: 2 + -1x = -21 + 3x Solving 2 + -1x = -21 + 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. 2 + -1x + -3x = -21 + 3x + -3x Combine like terms: -1x + -3x = -4x 2 + -4x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 2 + -4x = -21 + 0 2 + -4x = -21 Add '-2' to each side of the equation. 2 + -2 + -4x = -21 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -21 + -2 -4x = -21 + -2 Combine like terms: -21 + -2 = -23 -4x = -23 Divide each side by '-4'. x = 5.75 Simplifying x = 5.75
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