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Simplifying 3x + 27 = 4(8x + -7) + -3 Reorder the terms: 27 + 3x = 4(8x + -7) + -3 Reorder the terms: 27 + 3x = 4(-7 + 8x) + -3 27 + 3x = (-7 * 4 + 8x * 4) + -3 27 + 3x = (-28 + 32x) + -3 Reorder the terms: 27 + 3x = -28 + -3 + 32x Combine like terms: -28 + -3 = -31 27 + 3x = -31 + 32x Solving 27 + 3x = -31 + 32x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32x' to each side of the equation. 27 + 3x + -32x = -31 + 32x + -32x Combine like terms: 3x + -32x = -29x 27 + -29x = -31 + 32x + -32x Combine like terms: 32x + -32x = 0 27 + -29x = -31 + 0 27 + -29x = -31 Add '-27' to each side of the equation. 27 + -27 + -29x = -31 + -27 Combine like terms: 27 + -27 = 0 0 + -29x = -31 + -27 -29x = -31 + -27 Combine like terms: -31 + -27 = -58 -29x = -58 Divide each side by '-29'. x = 2 Simplifying x = 2
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