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Simplifying 8(2x + -5) + -4(3x + 5) = 2(5x + -10) Reorder the terms: 8(-5 + 2x) + -4(3x + 5) = 2(5x + -10) (-5 * 8 + 2x * 8) + -4(3x + 5) = 2(5x + -10) (-40 + 16x) + -4(3x + 5) = 2(5x + -10) Reorder the terms: -40 + 16x + -4(5 + 3x) = 2(5x + -10) -40 + 16x + (5 * -4 + 3x * -4) = 2(5x + -10) -40 + 16x + (-20 + -12x) = 2(5x + -10) Reorder the terms: -40 + -20 + 16x + -12x = 2(5x + -10) Combine like terms: -40 + -20 = -60 -60 + 16x + -12x = 2(5x + -10) Combine like terms: 16x + -12x = 4x -60 + 4x = 2(5x + -10) Reorder the terms: -60 + 4x = 2(-10 + 5x) -60 + 4x = (-10 * 2 + 5x * 2) -60 + 4x = (-20 + 10x) Solving -60 + 4x = -20 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -60 + 4x + -10x = -20 + 10x + -10x Combine like terms: 4x + -10x = -6x -60 + -6x = -20 + 10x + -10x Combine like terms: 10x + -10x = 0 -60 + -6x = -20 + 0 -60 + -6x = -20 Add '60' to each side of the equation. -60 + 60 + -6x = -20 + 60 Combine like terms: -60 + 60 = 0 0 + -6x = -20 + 60 -6x = -20 + 60 Combine like terms: -20 + 60 = 40 -6x = 40 Divide each side by '-6'. x = -6.666666667 Simplifying x = -6.666666667
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