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Simplifying 4(0.5x + 2.5y + -0.7x + -1.3y + 4) = 0 Reorder the terms: 4(4 + 0.5x + -0.7x + 2.5y + -1.3y) = 0 Combine like terms: 0.5x + -0.7x = -0.2x 4(4 + -0.2x + 2.5y + -1.3y) = 0 Combine like terms: 2.5y + -1.3y = 1.2y 4(4 + -0.2x + 1.2y) = 0 (4 * 4 + -0.2x * 4 + 1.2y * 4) = 0 (16 + -0.8x + 4.8y) = 0 Solving 16 + -0.8x + 4.8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -0.8x + -16 + 4.8y = 0 + -16 Reorder the terms: 16 + -16 + -0.8x + 4.8y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + -0.8x + 4.8y = 0 + -16 -0.8x + 4.8y = 0 + -16 Combine like terms: 0 + -16 = -16 -0.8x + 4.8y = -16 Add '-4.8y' to each side of the equation. -0.8x + 4.8y + -4.8y = -16 + -4.8y Combine like terms: 4.8y + -4.8y = 0.0 -0.8x + 0.0 = -16 + -4.8y -0.8x = -16 + -4.8y Divide each side by '-0.8'. x = 20 + 6y Simplifying x = 20 + 6y
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