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Simplifying 3(3x + -7) = 2x + -63 Reorder the terms: 3(-7 + 3x) = 2x + -63 (-7 * 3 + 3x * 3) = 2x + -63 (-21 + 9x) = 2x + -63 Reorder the terms: -21 + 9x = -63 + 2x Solving -21 + 9x = -63 + 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 + 9x + -2x = -63 + 2x + -2x Combine like terms: 9x + -2x = 7x -21 + 7x = -63 + 2x + -2x Combine like terms: 2x + -2x = 0 -21 + 7x = -63 + 0 -21 + 7x = -63 Add '21' to each side of the equation. -21 + 21 + 7x = -63 + 21 Combine like terms: -21 + 21 = 0 0 + 7x = -63 + 21 7x = -63 + 21 Combine like terms: -63 + 21 = -42 7x = -42 Divide each side by '7'. x = -6 Simplifying x = -6
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