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Simplifying -6(0.3x + y + 4z) + -1(x + -4 + -1z) = 0 (0.3x * -6 + y * -6 + 4z * -6) + -1(x + -4 + -1z) = 0 (-1.8x + -6y + -24z) + -1(x + -4 + -1z) = 0 Reorder the terms: -1.8x + -6y + -24z + -1(-4 + x + -1z) = 0 -1.8x + -6y + -24z + (-4 * -1 + x * -1 + -1z * -1) = 0 -1.8x + -6y + -24z + (4 + -1x + 1z) = 0 Reorder the terms: 4 + -1.8x + -1x + -6y + -24z + 1z = 0 Combine like terms: -1.8x + -1x = -2.8x 4 + -2.8x + -6y + -24z + 1z = 0 Combine like terms: -24z + 1z = -23z 4 + -2.8x + -6y + -23z = 0 Solving 4 + -2.8x + -6y + -23z = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -2.8x + -6y + -4 + -23z = 0 + -4 Reorder the terms: 4 + -4 + -2.8x + -6y + -23z = 0 + -4 Combine like terms: 4 + -4 = 0 0 + -2.8x + -6y + -23z = 0 + -4 -2.8x + -6y + -23z = 0 + -4 Combine like terms: 0 + -4 = -4 -2.8x + -6y + -23z = -4 Add '6y' to each side of the equation. -2.8x + -6y + 6y + -23z = -4 + 6y Combine like terms: -6y + 6y = 0 -2.8x + 0 + -23z = -4 + 6y -2.8x + -23z = -4 + 6y Add '23z' to each side of the equation. -2.8x + -23z + 23z = -4 + 6y + 23z Combine like terms: -23z + 23z = 0 -2.8x + 0 = -4 + 6y + 23z -2.8x = -4 + 6y + 23z Divide each side by '-2.8'. x = 1.428571429 + -2.142857143y + -8.214285714z Simplifying x = 1.428571429 + -2.142857143y + -8.214285714z
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