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Simplifying 63x + -1(21 + 28x) = 12x + -1(42 + -30x) 63x + (21 * -1 + 28x * -1) = 12x + -1(42 + -30x) 63x + (-21 + -28x) = 12x + -1(42 + -30x) Reorder the terms: -21 + 63x + -28x = 12x + -1(42 + -30x) Combine like terms: 63x + -28x = 35x -21 + 35x = 12x + -1(42 + -30x) -21 + 35x = 12x + (42 * -1 + -30x * -1) -21 + 35x = 12x + (-42 + 30x) Reorder the terms: -21 + 35x = -42 + 12x + 30x Combine like terms: 12x + 30x = 42x -21 + 35x = -42 + 42x Solving -21 + 35x = -42 + 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. -21 + 35x + -42x = -42 + 42x + -42x Combine like terms: 35x + -42x = -7x -21 + -7x = -42 + 42x + -42x Combine like terms: 42x + -42x = 0 -21 + -7x = -42 + 0 -21 + -7x = -42 Add '21' to each side of the equation. -21 + 21 + -7x = -42 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = -42 + 21 -7x = -42 + 21 Combine like terms: -42 + 21 = -21 -7x = -21 Divide each side by '-7'. x = 3 Simplifying x = 3
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