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Simplifying X + -2 + -1(x + 3) = 2(x + -4) + -5 Reorder the terms: X + -2 + -1(3 + x) = 2(x + -4) + -5 X + -2 + (3 * -1 + x * -1) = 2(x + -4) + -5 X + -2 + (-3 + -1x) = 2(x + -4) + -5 Reorder the terms: -2 + -3 + X + -1x = 2(x + -4) + -5 Combine like terms: -2 + -3 = -5 -5 + X + -1x = 2(x + -4) + -5 Reorder the terms: -5 + X + -1x = 2(-4 + x) + -5 -5 + X + -1x = (-4 * 2 + x * 2) + -5 -5 + X + -1x = (-8 + 2x) + -5 Reorder the terms: -5 + X + -1x = -8 + -5 + 2x Combine like terms: -8 + -5 = -13 -5 + X + -1x = -13 + 2x Solving -5 + X + -1x = -13 + 2x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '5' to each side of the equation. -5 + X + 5 + -1x = -13 + 5 + 2x Reorder the terms: -5 + 5 + X + -1x = -13 + 5 + 2x Combine like terms: -5 + 5 = 0 0 + X + -1x = -13 + 5 + 2x X + -1x = -13 + 5 + 2x Combine like terms: -13 + 5 = -8 X + -1x = -8 + 2x Add 'x' to each side of the equation. X + -1x + x = -8 + 2x + x Combine like terms: -1x + x = 0 X + 0 = -8 + 2x + x X = -8 + 2x + x Combine like terms: 2x + x = 3x X = -8 + 3x Simplifying X = -8 + 3x
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