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Simplifying 9(x + -3) + 28 = 8(x + 3) Reorder the terms: 9(-3 + x) + 28 = 8(x + 3) (-3 * 9 + x * 9) + 28 = 8(x + 3) (-27 + 9x) + 28 = 8(x + 3) Reorder the terms: -27 + 28 + 9x = 8(x + 3) Combine like terms: -27 + 28 = 1 1 + 9x = 8(x + 3) Reorder the terms: 1 + 9x = 8(3 + x) 1 + 9x = (3 * 8 + x * 8) 1 + 9x = (24 + 8x) Solving 1 + 9x = 24 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 1 + 9x + -8x = 24 + 8x + -8x Combine like terms: 9x + -8x = 1x 1 + 1x = 24 + 8x + -8x Combine like terms: 8x + -8x = 0 1 + 1x = 24 + 0 1 + 1x = 24 Add '-1' to each side of the equation. 1 + -1 + 1x = 24 + -1 Combine like terms: 1 + -1 = 0 0 + 1x = 24 + -1 1x = 24 + -1 Combine like terms: 24 + -1 = 23 1x = 23 Divide each side by '1'. x = 23 Simplifying x = 23
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