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Simplifying 7(x + -3) = 42 + -5x Reorder the terms: 7(-3 + x) = 42 + -5x (-3 * 7 + x * 7) = 42 + -5x (-21 + 7x) = 42 + -5x Solving -21 + 7x = 42 + -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 + 7x + 5x = 42 + -5x + 5x Combine like terms: 7x + 5x = 12x -21 + 12x = 42 + -5x + 5x Combine like terms: -5x + 5x = 0 -21 + 12x = 42 + 0 -21 + 12x = 42 Add '21' to each side of the equation. -21 + 21 + 12x = 42 + 21 Combine like terms: -21 + 21 = 0 0 + 12x = 42 + 21 12x = 42 + 21 Combine like terms: 42 + 21 = 63 12x = 63 Divide each side by '12'. x = 5.25 Simplifying x = 5.25
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