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Simplifying -1[3x + -1(2x + 5)] = -4 + -1[3(2x + -4)] + -3x + 8y Reorder the terms: -1[3x + -1(5 + 2x)] = -4 + -1[3(2x + -4)] + -3x + 8y -1[3x + (5 * -1 + 2x * -1)] = -4 + -1[3(2x + -4)] + -3x + 8y -1[3x + (-5 + -2x)] = -4 + -1[3(2x + -4)] + -3x + 8y Reorder the terms: -1[-5 + 3x + -2x] = -4 + -1[3(2x + -4)] + -3x + 8y Combine like terms: 3x + -2x = 1x -1[-5 + 1x] = -4 + -1[3(2x + -4)] + -3x + 8y [-5 * -1 + 1x * -1] = -4 + -1[3(2x + -4)] + -3x + 8y [5 + -1x] = -4 + -1[3(2x + -4)] + -3x + 8y Reorder the terms: 5 + -1x = -4 + -1[3(-4 + 2x)] + -3x + 8y 5 + -1x = -4 + -1[(-4 * 3 + 2x * 3)] + -3x + 8y 5 + -1x = -4 + -1[(-12 + 6x)] + -3x + 8y 5 + -1x = -4 + [-12 * -1 + 6x * -1] + -3x + 8y 5 + -1x = -4 + [12 + -6x] + -3x + 8y Combine like terms: -4 + 12 = 8 5 + -1x = 8 + -6x + -3x + 8y Combine like terms: -6x + -3x = -9x 5 + -1x = 8 + -9x + 8y Solving 5 + -1x = 8 + -9x + 8y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 5 + -1x + 9x = 8 + -9x + 9x + 8y Combine like terms: -1x + 9x = 8x 5 + 8x = 8 + -9x + 9x + 8y Combine like terms: -9x + 9x = 0 5 + 8x = 8 + 0 + 8y 5 + 8x = 8 + 8y Add '-5' to each side of the equation. 5 + -5 + 8x = 8 + -5 + 8y Combine like terms: 5 + -5 = 0 0 + 8x = 8 + -5 + 8y 8x = 8 + -5 + 8y Combine like terms: 8 + -5 = 3 8x = 3 + 8y Divide each side by '8'. x = 0.375 + y Simplifying x = 0.375 + y
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