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Simplifying (X + -3) + (2 + -3x) = 4(x + -2) + 1 Reorder the terms: (-3 + X) + (2 + -3x) = 4(x + -2) + 1 Remove parenthesis around (-3 + X) -3 + X + (2 + -3x) = 4(x + -2) + 1 Remove parenthesis around (2 + -3x) -3 + X + 2 + -3x = 4(x + -2) + 1 Reorder the terms: -3 + 2 + X + -3x = 4(x + -2) + 1 Combine like terms: -3 + 2 = -1 -1 + X + -3x = 4(x + -2) + 1 Reorder the terms: -1 + X + -3x = 4(-2 + x) + 1 -1 + X + -3x = (-2 * 4 + x * 4) + 1 -1 + X + -3x = (-8 + 4x) + 1 Reorder the terms: -1 + X + -3x = -8 + 1 + 4x Combine like terms: -8 + 1 = -7 -1 + X + -3x = -7 + 4x Solving -1 + X + -3x = -7 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '1' to each side of the equation. -1 + X + 1 + -3x = -7 + 1 + 4x Reorder the terms: -1 + 1 + X + -3x = -7 + 1 + 4x Combine like terms: -1 + 1 = 0 0 + X + -3x = -7 + 1 + 4x X + -3x = -7 + 1 + 4x Combine like terms: -7 + 1 = -6 X + -3x = -6 + 4x Add '3x' to each side of the equation. X + -3x + 3x = -6 + 4x + 3x Combine like terms: -3x + 3x = 0 X + 0 = -6 + 4x + 3x X = -6 + 4x + 3x Combine like terms: 4x + 3x = 7x X = -6 + 7x Simplifying X = -6 + 7x
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