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Simplifying X + 3(2 + -5x) = x + -1(1 + -3x) X + (2 * 3 + -5x * 3) = x + -1(1 + -3x) X + (6 + -15x) = x + -1(1 + -3x) Reorder the terms: 6 + X + -15x = x + -1(1 + -3x) 6 + X + -15x = x + (1 * -1 + -3x * -1) 6 + X + -15x = x + (-1 + 3x) Reorder the terms: 6 + X + -15x = -1 + x + 3x Combine like terms: x + 3x = 4x 6 + X + -15x = -1 + 4x Solving 6 + X + -15x = -1 + 4x Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + X + -6 + -15x = -1 + -6 + 4x Reorder the terms: 6 + -6 + X + -15x = -1 + -6 + 4x Combine like terms: 6 + -6 = 0 0 + X + -15x = -1 + -6 + 4x X + -15x = -1 + -6 + 4x Combine like terms: -1 + -6 = -7 X + -15x = -7 + 4x Add '15x' to each side of the equation. X + -15x + 15x = -7 + 4x + 15x Combine like terms: -15x + 15x = 0 X + 0 = -7 + 4x + 15x X = -7 + 4x + 15x Combine like terms: 4x + 15x = 19x X = -7 + 19x Simplifying X = -7 + 19x
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