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Simplifying 4x + 2 = -1(x + -27) Reorder the terms: 2 + 4x = -1(x + -27) Reorder the terms: 2 + 4x = -1(-27 + x) 2 + 4x = (-27 * -1 + x * -1) 2 + 4x = (27 + -1x) Solving 2 + 4x = 27 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + 4x + x = 27 + -1x + x Combine like terms: 4x + x = 5x 2 + 5x = 27 + -1x + x Combine like terms: -1x + x = 0 2 + 5x = 27 + 0 2 + 5x = 27 Add '-2' to each side of the equation. 2 + -2 + 5x = 27 + -2 Combine like terms: 2 + -2 = 0 0 + 5x = 27 + -2 5x = 27 + -2 Combine like terms: 27 + -2 = 25 5x = 25 Divide each side by '5'. x = 5 Simplifying x = 5
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