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Simplifying 4[2(3x + -1y) + -5(2x + 1)] = 0 4[(3x * 2 + -1y * 2) + -5(2x + 1)] = 0 4[(6x + -2y) + -5(2x + 1)] = 0 Reorder the terms: 4[6x + -2y + -5(1 + 2x)] = 0 4[6x + -2y + (1 * -5 + 2x * -5)] = 0 4[6x + -2y + (-5 + -10x)] = 0 Reorder the terms: 4[-5 + 6x + -10x + -2y] = 0 Combine like terms: 6x + -10x = -4x 4[-5 + -4x + -2y] = 0 [-5 * 4 + -4x * 4 + -2y * 4] = 0 [-20 + -16x + -8y] = 0 Solving -20 + -16x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20' to each side of the equation. -20 + -16x + 20 + -8y = 0 + 20 Reorder the terms: -20 + 20 + -16x + -8y = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -16x + -8y = 0 + 20 -16x + -8y = 0 + 20 Combine like terms: 0 + 20 = 20 -16x + -8y = 20 Add '8y' to each side of the equation. -16x + -8y + 8y = 20 + 8y Combine like terms: -8y + 8y = 0 -16x + 0 = 20 + 8y -16x = 20 + 8y Divide each side by '-16'. x = -1.25 + -0.5y Simplifying x = -1.25 + -0.5y
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