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Simplifying -6(X + 2) + 4X + 6 = 6X + 7 Reorder the terms: -6(2 + X) + 4X + 6 = 6X + 7 (2 * -6 + X * -6) + 4X + 6 = 6X + 7 (-12 + -6X) + 4X + 6 = 6X + 7 Reorder the terms: -12 + 6 + -6X + 4X = 6X + 7 Combine like terms: -12 + 6 = -6 -6 + -6X + 4X = 6X + 7 Combine like terms: -6X + 4X = -2X -6 + -2X = 6X + 7 Reorder the terms: -6 + -2X = 7 + 6X Solving -6 + -2X = 7 + 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. -6 + -2X + -6X = 7 + 6X + -6X Combine like terms: -2X + -6X = -8X -6 + -8X = 7 + 6X + -6X Combine like terms: 6X + -6X = 0 -6 + -8X = 7 + 0 -6 + -8X = 7 Add '6' to each side of the equation. -6 + 6 + -8X = 7 + 6 Combine like terms: -6 + 6 = 0 0 + -8X = 7 + 6 -8X = 7 + 6 Combine like terms: 7 + 6 = 13 -8X = 13 Divide each side by '-8'. X = -1.625 Simplifying X = -1.625
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