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Simplifying x + -27 = 4(2x + 3) + -4 Reorder the terms: -27 + x = 4(2x + 3) + -4 Reorder the terms: -27 + x = 4(3 + 2x) + -4 -27 + x = (3 * 4 + 2x * 4) + -4 -27 + x = (12 + 8x) + -4 Reorder the terms: -27 + x = 12 + -4 + 8x Combine like terms: 12 + -4 = 8 -27 + x = 8 + 8x Solving -27 + x = 8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -27 + x + -8x = 8 + 8x + -8x Combine like terms: x + -8x = -7x -27 + -7x = 8 + 8x + -8x Combine like terms: 8x + -8x = 0 -27 + -7x = 8 + 0 -27 + -7x = 8 Add '27' to each side of the equation. -27 + 27 + -7x = 8 + 27 Combine like terms: -27 + 27 = 0 0 + -7x = 8 + 27 -7x = 8 + 27 Combine like terms: 8 + 27 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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