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Simplifying 2x + 3(x + -7) = -2(x + -21) Reorder the terms: 2x + 3(-7 + x) = -2(x + -21) 2x + (-7 * 3 + x * 3) = -2(x + -21) 2x + (-21 + 3x) = -2(x + -21) Reorder the terms: -21 + 2x + 3x = -2(x + -21) Combine like terms: 2x + 3x = 5x -21 + 5x = -2(x + -21) Reorder the terms: -21 + 5x = -2(-21 + x) -21 + 5x = (-21 * -2 + x * -2) -21 + 5x = (42 + -2x) Solving -21 + 5x = 42 + -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. -21 + 5x + 2x = 42 + -2x + 2x Combine like terms: 5x + 2x = 7x -21 + 7x = 42 + -2x + 2x Combine like terms: -2x + 2x = 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 = 63 7x = 63 Divide each side by '7'. x = 9 Simplifying x = 9
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