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Simplifying 4(2x + 1) = 27 + 3(3x + -5) Reorder the terms: 4(1 + 2x) = 27 + 3(3x + -5) (1 * 4 + 2x * 4) = 27 + 3(3x + -5) (4 + 8x) = 27 + 3(3x + -5) Reorder the terms: 4 + 8x = 27 + 3(-5 + 3x) 4 + 8x = 27 + (-5 * 3 + 3x * 3) 4 + 8x = 27 + (-15 + 9x) Combine like terms: 27 + -15 = 12 4 + 8x = 12 + 9x Solving 4 + 8x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 4 + 8x + -9x = 12 + 9x + -9x Combine like terms: 8x + -9x = -1x 4 + -1x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 4 + -1x = 12 + 0 4 + -1x = 12 Add '-4' to each side of the equation. 4 + -4 + -1x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = 12 + -4 -1x = 12 + -4 Combine like terms: 12 + -4 = 8 -1x = 8 Divide each side by '-1'. x = -8 Simplifying x = -8
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