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Simplifying 5(x + -8) + -5 = -6(-3y + 8) + -1x Reorder the terms: 5(-8 + x) + -5 = -6(-3y + 8) + -1x (-8 * 5 + x * 5) + -5 = -6(-3y + 8) + -1x (-40 + 5x) + -5 = -6(-3y + 8) + -1x Reorder the terms: -40 + -5 + 5x = -6(-3y + 8) + -1x Combine like terms: -40 + -5 = -45 -45 + 5x = -6(-3y + 8) + -1x Reorder the terms: -45 + 5x = -6(8 + -3y) + -1x -45 + 5x = (8 * -6 + -3y * -6) + -1x -45 + 5x = (-48 + 18y) + -1x Reorder the terms: -45 + 5x = -48 + -1x + 18y Solving -45 + 5x = -48 + -1x + 18y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -45 + 5x + x = -48 + -1x + x + 18y Combine like terms: 5x + x = 6x -45 + 6x = -48 + -1x + x + 18y Combine like terms: -1x + x = 0 -45 + 6x = -48 + 0 + 18y -45 + 6x = -48 + 18y Add '45' to each side of the equation. -45 + 45 + 6x = -48 + 45 + 18y Combine like terms: -45 + 45 = 0 0 + 6x = -48 + 45 + 18y 6x = -48 + 45 + 18y Combine like terms: -48 + 45 = -3 6x = -3 + 18y Divide each side by '6'. x = -0.5 + 3y Simplifying x = -0.5 + 3y
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