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Simplifying -2(X + 5) + 5 = 6(X + 2) + 6 Reorder the terms: -2(5 + X) + 5 = 6(X + 2) + 6 (5 * -2 + X * -2) + 5 = 6(X + 2) + 6 (-10 + -2X) + 5 = 6(X + 2) + 6 Reorder the terms: -10 + 5 + -2X = 6(X + 2) + 6 Combine like terms: -10 + 5 = -5 -5 + -2X = 6(X + 2) + 6 Reorder the terms: -5 + -2X = 6(2 + X) + 6 -5 + -2X = (2 * 6 + X * 6) + 6 -5 + -2X = (12 + 6X) + 6 Reorder the terms: -5 + -2X = 12 + 6 + 6X Combine like terms: 12 + 6 = 18 -5 + -2X = 18 + 6X Solving -5 + -2X = 18 + 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 = 18 + 6X + -6X Combine like terms: -2X + -6X = -8X -5 + -8X = 18 + 6X + -6X Combine like terms: 6X + -6X = 0 -5 + -8X = 18 + 0 -5 + -8X = 18 Add '5' to each side of the equation. -5 + 5 + -8X = 18 + 5 Combine like terms: -5 + 5 = 0 0 + -8X = 18 + 5 -8X = 18 + 5 Combine like terms: 18 + 5 = 23 -8X = 23 Divide each side by '-8'. X = -2.875 Simplifying X = -2.875
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