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Simplifying -4(X + 2) + 3 = 6(X + 4) + 7 Reorder the terms: -4(2 + X) + 3 = 6(X + 4) + 7 (2 * -4 + X * -4) + 3 = 6(X + 4) + 7 (-8 + -4X) + 3 = 6(X + 4) + 7 Reorder the terms: -8 + 3 + -4X = 6(X + 4) + 7 Combine like terms: -8 + 3 = -5 -5 + -4X = 6(X + 4) + 7 Reorder the terms: -5 + -4X = 6(4 + X) + 7 -5 + -4X = (4 * 6 + X * 6) + 7 -5 + -4X = (24 + 6X) + 7 Reorder the terms: -5 + -4X = 24 + 7 + 6X Combine like terms: 24 + 7 = 31 -5 + -4X = 31 + 6X Solving -5 + -4X = 31 + 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 + -4X + -6X = 31 + 6X + -6X Combine like terms: -4X + -6X = -10X -5 + -10X = 31 + 6X + -6X Combine like terms: 6X + -6X = 0 -5 + -10X = 31 + 0 -5 + -10X = 31 Add '5' to each side of the equation. -5 + 5 + -10X = 31 + 5 Combine like terms: -5 + 5 = 0 0 + -10X = 31 + 5 -10X = 31 + 5 Combine like terms: 31 + 5 = 36 -10X = 36 Divide each side by '-10'. X = -3.6 Simplifying X = -3.6
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