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Simplifying 3x + -49 = -7(x + -3) Reorder the terms: -49 + 3x = -7(x + -3) Reorder the terms: -49 + 3x = -7(-3 + x) -49 + 3x = (-3 * -7 + x * -7) -49 + 3x = (21 + -7x) Solving -49 + 3x = 21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -49 + 3x + 7x = 21 + -7x + 7x Combine like terms: 3x + 7x = 10x -49 + 10x = 21 + -7x + 7x Combine like terms: -7x + 7x = 0 -49 + 10x = 21 + 0 -49 + 10x = 21 Add '49' to each side of the equation. -49 + 49 + 10x = 21 + 49 Combine like terms: -49 + 49 = 0 0 + 10x = 21 + 49 10x = 21 + 49 Combine like terms: 21 + 49 = 70 10x = 70 Divide each side by '10'. x = 7 Simplifying x = 7
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