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Simplifying 2 + -1[-3(4y + -2x) + 6] * 7 = 0 Reorder the terms: 2 + -1[-3(-2x + 4y) + 6] * 7 = 0 2 + -1[(-2x * -3 + 4y * -3) + 6] * 7 = 0 2 + -1[(6x + -12y) + 6] * 7 = 0 Reorder the terms: 2 + -1[6 + 6x + -12y] * 7 = 0 Reorder the terms for easier multiplication: 2 + -1 * 7[6 + 6x + -12y] = 0 Multiply -1 * 7 2 + -7[6 + 6x + -12y] = 0 2 + [6 * -7 + 6x * -7 + -12y * -7] = 0 2 + [-42 + -42x + 84y] = 0 Combine like terms: 2 + -42 = -40 -40 + -42x + 84y = 0 Solving -40 + -42x + 84y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40' to each side of the equation. -40 + -42x + 40 + 84y = 0 + 40 Reorder the terms: -40 + 40 + -42x + 84y = 0 + 40 Combine like terms: -40 + 40 = 0 0 + -42x + 84y = 0 + 40 -42x + 84y = 0 + 40 Combine like terms: 0 + 40 = 40 -42x + 84y = 40 Add '-84y' to each side of the equation. -42x + 84y + -84y = 40 + -84y Combine like terms: 84y + -84y = 0 -42x + 0 = 40 + -84y -42x = 40 + -84y Divide each side by '-42'. x = -0.9523809524 + 2y Simplifying x = -0.9523809524 + 2y
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