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Simplifying 1.4(1.5x + -2.8y) + -2.5(2.0x + 1.5y) = 0 (1.5x * 1.4 + -2.8y * 1.4) + -2.5(2.0x + 1.5y) = 0 (2.1x + -3.92y) + -2.5(2.0x + 1.5y) = 0 2.1x + -3.92y + (2.0x * -2.5 + 1.5y * -2.5) = 0 2.1x + -3.92y + (-5x + -3.75y) = 0 Reorder the terms: 2.1x + -5x + -3.92y + -3.75y = 0 Combine like terms: 2.1x + -5x = -2.9x -2.9x + -3.92y + -3.75y = 0 Combine like terms: -3.92y + -3.75y = -7.67y -2.9x + -7.67y = 0 Solving -2.9x + -7.67y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.67y' to each side of the equation. -2.9x + -7.67y + 7.67y = 0 + 7.67y Combine like terms: -7.67y + 7.67y = 0.00 -2.9x + 0.00 = 0 + 7.67y -2.9x = 0 + 7.67y Remove the zero: -2.9x = 7.67y Divide each side by '-2.9'. x = -2.644827586y Simplifying x = -2.644827586y
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