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Simplifying 3(x + 4) + 5(x + 3) = 2x + -27 Reorder the terms: 3(4 + x) + 5(x + 3) = 2x + -27 (4 * 3 + x * 3) + 5(x + 3) = 2x + -27 (12 + 3x) + 5(x + 3) = 2x + -27 Reorder the terms: 12 + 3x + 5(3 + x) = 2x + -27 12 + 3x + (3 * 5 + x * 5) = 2x + -27 12 + 3x + (15 + 5x) = 2x + -27 Reorder the terms: 12 + 15 + 3x + 5x = 2x + -27 Combine like terms: 12 + 15 = 27 27 + 3x + 5x = 2x + -27 Combine like terms: 3x + 5x = 8x 27 + 8x = 2x + -27 Reorder the terms: 27 + 8x = -27 + 2x Solving 27 + 8x = -27 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 27 + 8x + -2x = -27 + 2x + -2x Combine like terms: 8x + -2x = 6x 27 + 6x = -27 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 6x = -27 + 0 27 + 6x = -27 Add '-27' to each side of the equation. 27 + -27 + 6x = -27 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = -27 + -27 6x = -27 + -27 Combine like terms: -27 + -27 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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