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Simplifying X + 3x + 27 = 4(x + 7) + -1 Reorder the terms: 27 + X + 3x = 4(x + 7) + -1 Reorder the terms: 27 + X + 3x = 4(7 + x) + -1 27 + X + 3x = (7 * 4 + x * 4) + -1 27 + X + 3x = (28 + 4x) + -1 Reorder the terms: 27 + X + 3x = 28 + -1 + 4x Combine like terms: 28 + -1 = 27 27 + X + 3x = 27 + 4x Add '-27' to each side of the equation. 27 + X + -27 + 3x = 27 + -27 + 4x Reorder the terms: 27 + -27 + X + 3x = 27 + -27 + 4x Combine like terms: 27 + -27 = 0 0 + X + 3x = 27 + -27 + 4x X + 3x = 27 + -27 + 4x Combine like terms: 27 + -27 = 0 X + 3x = 0 + 4x X + 3x = 4x Solving X + 3x = 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-3x' to each side of the equation. X + 3x + -3x = 4x + -3x Combine like terms: 3x + -3x = 0 X + 0 = 4x + -3x X = 4x + -3x Combine like terms: 4x + -3x = 1x X = 1x Simplifying X = 1x
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