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Simplifying 8x + 17(x + -3) = 4(4x + -9) + 12 Reorder the terms: 8x + 17(-3 + x) = 4(4x + -9) + 12 8x + (-3 * 17 + x * 17) = 4(4x + -9) + 12 8x + (-51 + 17x) = 4(4x + -9) + 12 Reorder the terms: -51 + 8x + 17x = 4(4x + -9) + 12 Combine like terms: 8x + 17x = 25x -51 + 25x = 4(4x + -9) + 12 Reorder the terms: -51 + 25x = 4(-9 + 4x) + 12 -51 + 25x = (-9 * 4 + 4x * 4) + 12 -51 + 25x = (-36 + 16x) + 12 Reorder the terms: -51 + 25x = -36 + 12 + 16x Combine like terms: -36 + 12 = -24 -51 + 25x = -24 + 16x Solving -51 + 25x = -24 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -51 + 25x + -16x = -24 + 16x + -16x Combine like terms: 25x + -16x = 9x -51 + 9x = -24 + 16x + -16x Combine like terms: 16x + -16x = 0 -51 + 9x = -24 + 0 -51 + 9x = -24 Add '51' to each side of the equation. -51 + 51 + 9x = -24 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = -24 + 51 9x = -24 + 51 Combine like terms: -24 + 51 = 27 9x = 27 Divide each side by '9'. x = 3 Simplifying x = 3
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