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Simplifying 9(4x + -3) + -3(7x + 8) = 7(x + 3) + -24 Reorder the terms: 9(-3 + 4x) + -3(7x + 8) = 7(x + 3) + -24 (-3 * 9 + 4x * 9) + -3(7x + 8) = 7(x + 3) + -24 (-27 + 36x) + -3(7x + 8) = 7(x + 3) + -24 Reorder the terms: -27 + 36x + -3(8 + 7x) = 7(x + 3) + -24 -27 + 36x + (8 * -3 + 7x * -3) = 7(x + 3) + -24 -27 + 36x + (-24 + -21x) = 7(x + 3) + -24 Reorder the terms: -27 + -24 + 36x + -21x = 7(x + 3) + -24 Combine like terms: -27 + -24 = -51 -51 + 36x + -21x = 7(x + 3) + -24 Combine like terms: 36x + -21x = 15x -51 + 15x = 7(x + 3) + -24 Reorder the terms: -51 + 15x = 7(3 + x) + -24 -51 + 15x = (3 * 7 + x * 7) + -24 -51 + 15x = (21 + 7x) + -24 Reorder the terms: -51 + 15x = 21 + -24 + 7x Combine like terms: 21 + -24 = -3 -51 + 15x = -3 + 7x Solving -51 + 15x = -3 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -51 + 15x + -7x = -3 + 7x + -7x Combine like terms: 15x + -7x = 8x -51 + 8x = -3 + 7x + -7x Combine like terms: 7x + -7x = 0 -51 + 8x = -3 + 0 -51 + 8x = -3 Add '51' to each side of the equation. -51 + 51 + 8x = -3 + 51 Combine like terms: -51 + 51 = 0 0 + 8x = -3 + 51 8x = -3 + 51 Combine like terms: -3 + 51 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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