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Simplifying 4 + (2x + 1) = 27 + 3(2x + -5) Reorder the terms: 4 + (1 + 2x) = 27 + 3(2x + -5) Remove parenthesis around (1 + 2x) 4 + 1 + 2x = 27 + 3(2x + -5) Combine like terms: 4 + 1 = 5 5 + 2x = 27 + 3(2x + -5) Reorder the terms: 5 + 2x = 27 + 3(-5 + 2x) 5 + 2x = 27 + (-5 * 3 + 2x * 3) 5 + 2x = 27 + (-15 + 6x) Combine like terms: 27 + -15 = 12 5 + 2x = 12 + 6x Solving 5 + 2x = 12 + 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. 5 + 2x + -6x = 12 + 6x + -6x Combine like terms: 2x + -6x = -4x 5 + -4x = 12 + 6x + -6x Combine like terms: 6x + -6x = 0 5 + -4x = 12 + 0 5 + -4x = 12 Add '-5' to each side of the equation. 5 + -5 + -4x = 12 + -5 Combine like terms: 5 + -5 = 0 0 + -4x = 12 + -5 -4x = 12 + -5 Combine like terms: 12 + -5 = 7 -4x = 7 Divide each side by '-4'. x = -1.75 Simplifying x = -1.75
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