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Simplifying 3[5 + -1(2x + -6)] + -1[4(x + y) + -3] = 0 Reorder the terms: 3[5 + -1(-6 + 2x)] + -1[4(x + y) + -3] = 0 3[5 + (-6 * -1 + 2x * -1)] + -1[4(x + y) + -3] = 0 3[5 + (6 + -2x)] + -1[4(x + y) + -3] = 0 Combine like terms: 5 + 6 = 11 3[11 + -2x] + -1[4(x + y) + -3] = 0 [11 * 3 + -2x * 3] + -1[4(x + y) + -3] = 0 [33 + -6x] + -1[4(x + y) + -3] = 0 33 + -6x + -1[(x * 4 + y * 4) + -3] = 0 33 + -6x + -1[(4x + 4y) + -3] = 0 Reorder the terms: 33 + -6x + -1[-3 + 4x + 4y] = 0 33 + -6x + [-3 * -1 + 4x * -1 + 4y * -1] = 0 33 + -6x + [3 + -4x + -4y] = 0 Reorder the terms: 33 + 3 + -6x + -4x + -4y = 0 Combine like terms: 33 + 3 = 36 36 + -6x + -4x + -4y = 0 Combine like terms: -6x + -4x = -10x 36 + -10x + -4y = 0 Solving 36 + -10x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36' to each side of the equation. 36 + -10x + -36 + -4y = 0 + -36 Reorder the terms: 36 + -36 + -10x + -4y = 0 + -36 Combine like terms: 36 + -36 = 0 0 + -10x + -4y = 0 + -36 -10x + -4y = 0 + -36 Combine like terms: 0 + -36 = -36 -10x + -4y = -36 Add '4y' to each side of the equation. -10x + -4y + 4y = -36 + 4y Combine like terms: -4y + 4y = 0 -10x + 0 = -36 + 4y -10x = -36 + 4y Divide each side by '-10'. x = 3.6 + -0.4y Simplifying x = 3.6 + -0.4y
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