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Simplifying (X + 5) + -1(x + -2) = 4x + 6 Reorder the terms: (5 + X) + -1(x + -2) = 4x + 6 Remove parenthesis around (5 + X) 5 + X + -1(x + -2) = 4x + 6 Reorder the terms: 5 + X + -1(-2 + x) = 4x + 6 5 + X + (-2 * -1 + x * -1) = 4x + 6 5 + X + (2 + -1x) = 4x + 6 Reorder the terms: 5 + 2 + X + -1x = 4x + 6 Combine like terms: 5 + 2 = 7 7 + X + -1x = 4x + 6 Reorder the terms: 7 + X + -1x = 6 + 4x Solving 7 + X + -1x = 6 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-7' to each side of the equation. 7 + X + -7 + -1x = 6 + -7 + 4x Reorder the terms: 7 + -7 + X + -1x = 6 + -7 + 4x Combine like terms: 7 + -7 = 0 0 + X + -1x = 6 + -7 + 4x X + -1x = 6 + -7 + 4x Combine like terms: 6 + -7 = -1 X + -1x = -1 + 4x Add 'x' to each side of the equation. X + -1x + x = -1 + 4x + x Combine like terms: -1x + x = 0 X + 0 = -1 + 4x + x X = -1 + 4x + x Combine like terms: 4x + x = 5x X = -1 + 5x Simplifying X = -1 + 5x
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