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Simplifying 5(2x + -7) + -8(2y + 3) = 0 Reorder the terms: 5(-7 + 2x) + -8(2y + 3) = 0 (-7 * 5 + 2x * 5) + -8(2y + 3) = 0 (-35 + 10x) + -8(2y + 3) = 0 Reorder the terms: -35 + 10x + -8(3 + 2y) = 0 -35 + 10x + (3 * -8 + 2y * -8) = 0 -35 + 10x + (-24 + -16y) = 0 Reorder the terms: -35 + -24 + 10x + -16y = 0 Combine like terms: -35 + -24 = -59 -59 + 10x + -16y = 0 Solving -59 + 10x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '59' to each side of the equation. -59 + 10x + 59 + -16y = 0 + 59 Reorder the terms: -59 + 59 + 10x + -16y = 0 + 59 Combine like terms: -59 + 59 = 0 0 + 10x + -16y = 0 + 59 10x + -16y = 0 + 59 Combine like terms: 0 + 59 = 59 10x + -16y = 59 Add '16y' to each side of the equation. 10x + -16y + 16y = 59 + 16y Combine like terms: -16y + 16y = 0 10x + 0 = 59 + 16y 10x = 59 + 16y Divide each side by '10'. x = 5.9 + 1.6y Simplifying x = 5.9 + 1.6y
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