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Simplifying 3x + -2[(7y + 4) * 3 + -7] = y + -2x + 6(x + -3) Reorder the terms: 3x + -2[(4 + 7y) * 3 + -7] = y + -2x + 6(x + -3) Reorder the terms for easier multiplication: 3x + -2[3(4 + 7y) + -7] = y + -2x + 6(x + -3) 3x + -2[(4 * 3 + 7y * 3) + -7] = y + -2x + 6(x + -3) 3x + -2[(12 + 21y) + -7] = y + -2x + 6(x + -3) Reorder the terms: 3x + -2[12 + -7 + 21y] = y + -2x + 6(x + -3) Combine like terms: 12 + -7 = 5 3x + -2[5 + 21y] = y + -2x + 6(x + -3) 3x + [5 * -2 + 21y * -2] = y + -2x + 6(x + -3) 3x + [-10 + -42y] = y + -2x + 6(x + -3) Reorder the terms: -10 + 3x + -42y = y + -2x + 6(x + -3) Reorder the terms: -10 + 3x + -42y = y + -2x + 6(-3 + x) -10 + 3x + -42y = y + -2x + (-3 * 6 + x * 6) -10 + 3x + -42y = y + -2x + (-18 + 6x) Reorder the terms: -10 + 3x + -42y = -18 + -2x + 6x + y Combine like terms: -2x + 6x = 4x -10 + 3x + -42y = -18 + 4x + y Solving -10 + 3x + -42y = -18 + 4x + y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -10 + 3x + -4x + -42y = -18 + 4x + -4x + y Combine like terms: 3x + -4x = -1x -10 + -1x + -42y = -18 + 4x + -4x + y Combine like terms: 4x + -4x = 0 -10 + -1x + -42y = -18 + 0 + y -10 + -1x + -42y = -18 + y Add '10' to each side of the equation. -10 + -1x + 10 + -42y = -18 + 10 + y Reorder the terms: -10 + 10 + -1x + -42y = -18 + 10 + y Combine like terms: -10 + 10 = 0 0 + -1x + -42y = -18 + 10 + y -1x + -42y = -18 + 10 + y Combine like terms: -18 + 10 = -8 -1x + -42y = -8 + y Add '42y' to each side of the equation. -1x + -42y + 42y = -8 + y + 42y Combine like terms: -42y + 42y = 0 -1x + 0 = -8 + y + 42y -1x = -8 + y + 42y Combine like terms: y + 42y = 43y -1x = -8 + 43y Divide each side by '-1'. x = 8 + -43y Simplifying x = 8 + -43y
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