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Simplifying 8x + 7(3x + -2) = 18 + -3x Reorder the terms: 8x + 7(-2 + 3x) = 18 + -3x 8x + (-2 * 7 + 3x * 7) = 18 + -3x 8x + (-14 + 21x) = 18 + -3x Reorder the terms: -14 + 8x + 21x = 18 + -3x Combine like terms: 8x + 21x = 29x -14 + 29x = 18 + -3x Solving -14 + 29x = 18 + -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. -14 + 29x + 3x = 18 + -3x + 3x Combine like terms: 29x + 3x = 32x -14 + 32x = 18 + -3x + 3x Combine like terms: -3x + 3x = 0 -14 + 32x = 18 + 0 -14 + 32x = 18 Add '14' to each side of the equation. -14 + 14 + 32x = 18 + 14 Combine like terms: -14 + 14 = 0 0 + 32x = 18 + 14 32x = 18 + 14 Combine like terms: 18 + 14 = 32 32x = 32 Divide each side by '32'. x = 1 Simplifying x = 1
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