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Simplifying 1.2(7x + -5y) + -1(10y + -4.3) = 0 (7x * 1.2 + -5y * 1.2) + -1(10y + -4.3) = 0 (8.4x + -6y) + -1(10y + -4.3) = 0 Reorder the terms: 8.4x + -6y + -1(-4.3 + 10y) = 0 8.4x + -6y + (-4.3 * -1 + 10y * -1) = 0 8.4x + -6y + (4.3 + -10y) = 0 Reorder the terms: 4.3 + 8.4x + -6y + -10y = 0 Combine like terms: -6y + -10y = -16y 4.3 + 8.4x + -16y = 0 Solving 4.3 + 8.4x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.3' to each side of the equation. 4.3 + 8.4x + -4.3 + -16y = 0 + -4.3 Reorder the terms: 4.3 + -4.3 + 8.4x + -16y = 0 + -4.3 Combine like terms: 4.3 + -4.3 = 0.0 0.0 + 8.4x + -16y = 0 + -4.3 8.4x + -16y = 0 + -4.3 Combine like terms: 0 + -4.3 = -4.3 8.4x + -16y = -4.3 Add '16y' to each side of the equation. 8.4x + -16y + 16y = -4.3 + 16y Combine like terms: -16y + 16y = 0 8.4x + 0 = -4.3 + 16y 8.4x = -4.3 + 16y Divide each side by '8.4'. x = -0.5119047619 + 1.904761905y Simplifying x = -0.5119047619 + 1.904761905y
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