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Simplifying 4x + 21 + -10x = 3 + -5x + -15 Reorder the terms: 21 + 4x + -10x = 3 + -5x + -15 Combine like terms: 4x + -10x = -6x 21 + -6x = 3 + -5x + -15 Reorder the terms: 21 + -6x = 3 + -15 + -5x Combine like terms: 3 + -15 = -12 21 + -6x = -12 + -5x Solving 21 + -6x = -12 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + -6x + 5x = -12 + -5x + 5x Combine like terms: -6x + 5x = -1x 21 + -1x = -12 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + -1x = -12 + 0 21 + -1x = -12 Add '-21' to each side of the equation. 21 + -21 + -1x = -12 + -21 Combine like terms: 21 + -21 = 0 0 + -1x = -12 + -21 -1x = -12 + -21 Combine like terms: -12 + -21 = -33 -1x = -33 Divide each side by '-1'. x = 33 Simplifying x = 33
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