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Simplifying 7(x + 9) = 12x + 28 Reorder the terms: 7(9 + x) = 12x + 28 (9 * 7 + x * 7) = 12x + 28 (63 + 7x) = 12x + 28 Reorder the terms: 63 + 7x = 28 + 12x Solving 63 + 7x = 28 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 63 + 7x + -12x = 28 + 12x + -12x Combine like terms: 7x + -12x = -5x 63 + -5x = 28 + 12x + -12x Combine like terms: 12x + -12x = 0 63 + -5x = 28 + 0 63 + -5x = 28 Add '-63' to each side of the equation. 63 + -63 + -5x = 28 + -63 Combine like terms: 63 + -63 = 0 0 + -5x = 28 + -63 -5x = 28 + -63 Combine like terms: 28 + -63 = -35 -5x = -35 Divide each side by '-5'. x = 7 Simplifying x = 7
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