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Simplifying 4(x + 7) = 27 + -4x Reorder the terms: 4(7 + x) = 27 + -4x (7 * 4 + x * 4) = 27 + -4x (28 + 4x) = 27 + -4x Solving 28 + 4x = 27 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 28 + 4x + 4x = 27 + -4x + 4x Combine like terms: 4x + 4x = 8x 28 + 8x = 27 + -4x + 4x Combine like terms: -4x + 4x = 0 28 + 8x = 27 + 0 28 + 8x = 27 Add '-28' to each side of the equation. 28 + -28 + 8x = 27 + -28 Combine like terms: 28 + -28 = 0 0 + 8x = 27 + -28 8x = 27 + -28 Combine like terms: 27 + -28 = -1 8x = -1 Divide each side by '8'. x = -0.125 Simplifying x = -0.125
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