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Simplifying 9(x + -7) = 3(x + 53) Reorder the terms: 9(-7 + x) = 3(x + 53) (-7 * 9 + x * 9) = 3(x + 53) (-63 + 9x) = 3(x + 53) Reorder the terms: -63 + 9x = 3(53 + x) -63 + 9x = (53 * 3 + x * 3) -63 + 9x = (159 + 3x) Solving -63 + 9x = 159 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -63 + 9x + -3x = 159 + 3x + -3x Combine like terms: 9x + -3x = 6x -63 + 6x = 159 + 3x + -3x Combine like terms: 3x + -3x = 0 -63 + 6x = 159 + 0 -63 + 6x = 159 Add '63' to each side of the equation. -63 + 63 + 6x = 159 + 63 Combine like terms: -63 + 63 = 0 0 + 6x = 159 + 63 6x = 159 + 63 Combine like terms: 159 + 63 = 222 6x = 222 Divide each side by '6'. x = 37 Simplifying x = 37
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