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Simplifying 21x + -42 + -7x = 2x + -18 + -9 Reorder the terms: -42 + 21x + -7x = 2x + -18 + -9 Combine like terms: 21x + -7x = 14x -42 + 14x = 2x + -18 + -9 Reorder the terms: -42 + 14x = -18 + -9 + 2x Combine like terms: -18 + -9 = -27 -42 + 14x = -27 + 2x Solving -42 + 14x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -42 + 14x + -2x = -27 + 2x + -2x Combine like terms: 14x + -2x = 12x -42 + 12x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 12x = -27 + 0 -42 + 12x = -27 Add '42' to each side of the equation. -42 + 42 + 12x = -27 + 42 Combine like terms: -42 + 42 = 0 0 + 12x = -27 + 42 12x = -27 + 42 Combine like terms: -27 + 42 = 15 12x = 15 Divide each side by '12'. x = 1.25 Simplifying x = 1.25
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