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Simplifying 4(2x + 1) + -27 = 3(2x + -5) Reorder the terms: 4(1 + 2x) + -27 = 3(2x + -5) (1 * 4 + 2x * 4) + -27 = 3(2x + -5) (4 + 8x) + -27 = 3(2x + -5) Reorder the terms: 4 + -27 + 8x = 3(2x + -5) Combine like terms: 4 + -27 = -23 -23 + 8x = 3(2x + -5) Reorder the terms: -23 + 8x = 3(-5 + 2x) -23 + 8x = (-5 * 3 + 2x * 3) -23 + 8x = (-15 + 6x) Solving -23 + 8x = -15 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -23 + 8x + -6x = -15 + 6x + -6x Combine like terms: 8x + -6x = 2x -23 + 2x = -15 + 6x + -6x Combine like terms: 6x + -6x = 0 -23 + 2x = -15 + 0 -23 + 2x = -15 Add '23' to each side of the equation. -23 + 23 + 2x = -15 + 23 Combine like terms: -23 + 23 = 0 0 + 2x = -15 + 23 2x = -15 + 23 Combine like terms: -15 + 23 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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