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Simplifying 3x + -3(4x + 2) = 6x + -1(x + -3) * j Reorder the terms: 3x + -3(2 + 4x) = 6x + -1(x + -3) * j 3x + (2 * -3 + 4x * -3) = 6x + -1(x + -3) * j 3x + (-6 + -12x) = 6x + -1(x + -3) * j Reorder the terms: -6 + 3x + -12x = 6x + -1(x + -3) * j Combine like terms: 3x + -12x = -9x -6 + -9x = 6x + -1(x + -3) * j Reorder the terms: -6 + -9x = 6x + -1(-3 + x) * j Reorder the terms for easier multiplication: -6 + -9x = 6x + -1j(-3 + x) -6 + -9x = 6x + (-3 * -1j + x * -1j) -6 + -9x = 6x + (3j + -1jx) Reorder the terms: -6 + -9x = 3j + -1jx + 6x Solving -6 + -9x = 3j + -1jx + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'jx' to each side of the equation. -6 + jx + -9x = 3j + -1jx + jx + 6x Combine like terms: -1jx + jx = 0 -6 + jx + -9x = 3j + 0 + 6x -6 + jx + -9x = 3j + 6x Add '-6x' to each side of the equation. -6 + jx + -9x + -6x = 3j + 6x + -6x Combine like terms: -9x + -6x = -15x -6 + jx + -15x = 3j + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + jx + -15x = 3j + 0 -6 + jx + -15x = 3j Add '6' to each side of the equation. -6 + jx + 6 + -15x = 6 + 3j Reorder the terms: -6 + 6 + jx + -15x = 6 + 3j Combine like terms: -6 + 6 = 0 0 + jx + -15x = 6 + 3j jx + -15x = 6 + 3j Reorder the terms: -6 + -3j + jx + -15x = 6 + 3j + -6 + -3j Reorder the terms: -6 + -3j + jx + -15x = 6 + -6 + 3j + -3j Combine like terms: 6 + -6 = 0 -6 + -3j + jx + -15x = 0 + 3j + -3j -6 + -3j + jx + -15x = 3j + -3j Combine like terms: 3j + -3j = 0 -6 + -3j + jx + -15x = 0 The solution to this equation could not be determined.
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