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Simplifying 5x + 27 = 3(4x + -3) + 8 Reorder the terms: 27 + 5x = 3(4x + -3) + 8 Reorder the terms: 27 + 5x = 3(-3 + 4x) + 8 27 + 5x = (-3 * 3 + 4x * 3) + 8 27 + 5x = (-9 + 12x) + 8 Reorder the terms: 27 + 5x = -9 + 8 + 12x Combine like terms: -9 + 8 = -1 27 + 5x = -1 + 12x Solving 27 + 5x = -1 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 27 + 5x + -12x = -1 + 12x + -12x Combine like terms: 5x + -12x = -7x 27 + -7x = -1 + 12x + -12x Combine like terms: 12x + -12x = 0 27 + -7x = -1 + 0 27 + -7x = -1 Add '-27' to each side of the equation. 27 + -27 + -7x = -1 + -27 Combine like terms: 27 + -27 = 0 0 + -7x = -1 + -27 -7x = -1 + -27 Combine like terms: -1 + -27 = -28 -7x = -28 Divide each side by '-7'. x = 4 Simplifying x = 4
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