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Simplifying 5(y + -7) + 2[x + -3(x + -5)] = 0 Reorder the terms: 5(-7 + y) + 2[x + -3(x + -5)] = 0 (-7 * 5 + y * 5) + 2[x + -3(x + -5)] = 0 (-35 + 5y) + 2[x + -3(x + -5)] = 0 Reorder the terms: -35 + 5y + 2[x + -3(-5 + x)] = 0 -35 + 5y + 2[x + (-5 * -3 + x * -3)] = 0 -35 + 5y + 2[x + (15 + -3x)] = 0 Reorder the terms: -35 + 5y + 2[15 + x + -3x] = 0 Combine like terms: x + -3x = -2x -35 + 5y + 2[15 + -2x] = 0 -35 + 5y + [15 * 2 + -2x * 2] = 0 -35 + 5y + [30 + -4x] = 0 Reorder the terms: -35 + 30 + -4x + 5y = 0 Combine like terms: -35 + 30 = -5 -5 + -4x + 5y = 0 Solving -5 + -4x + 5y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + -4x + 5 + 5y = 0 + 5 Reorder the terms: -5 + 5 + -4x + 5y = 0 + 5 Combine like terms: -5 + 5 = 0 0 + -4x + 5y = 0 + 5 -4x + 5y = 0 + 5 Combine like terms: 0 + 5 = 5 -4x + 5y = 5 Add '-5y' to each side of the equation. -4x + 5y + -5y = 5 + -5y Combine like terms: 5y + -5y = 0 -4x + 0 = 5 + -5y -4x = 5 + -5y Divide each side by '-4'. x = -1.25 + 1.25y Simplifying x = -1.25 + 1.25y
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