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Simplifying 1.4(3.5x) + 1.4(-2.4y) + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (3.5x) 1.4 * 3.5x + 1.4(-2.4y) + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Multiply 1.4 * 3.5 4.9x + 1.4(-2.4y) + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (-2.4y) 4.9x + 1.4 * -2.4y + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Multiply 1.4 * -2.4 4.9x + -3.36y + (-2.5)(3.0x) + (-2.5)(1.5y) = 0 Remove parenthesis around (3.0x) 4.9x + -3.36y + -2.5 * 3.0x + (-2.5)(1.5y) = 0 Multiply -2.5 * 3.0 4.9x + -3.36y + -7.5x + (-2.5)(1.5y) = 0 Remove parenthesis around (1.5y) 4.9x + -3.36y + -7.5x + -2.5 * 1.5y = 0 Multiply -2.5 * 1.5 4.9x + -3.36y + -7.5x + -3.75y = 0 Reorder the terms: 4.9x + -7.5x + -3.36y + -3.75y = 0 Combine like terms: 4.9x + -7.5x = -2.6x -2.6x + -3.36y + -3.75y = 0 Combine like terms: -3.36y + -3.75y = -7.11y -2.6x + -7.11y = 0 Solving -2.6x + -7.11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7.11y' to each side of the equation. -2.6x + -7.11y + 7.11y = 0 + 7.11y Combine like terms: -7.11y + 7.11y = 0.00 -2.6x + 0.00 = 0 + 7.11y -2.6x = 0 + 7.11y Remove the zero: -2.6x = 7.11y Divide each side by '-2.6'. x = -2.734615385y Simplifying x = -2.734615385y
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