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Simplifying 8(5x + -5) + -4 = 2(6 + -8x) Reorder the terms: 8(-5 + 5x) + -4 = 2(6 + -8x) (-5 * 8 + 5x * 8) + -4 = 2(6 + -8x) (-40 + 40x) + -4 = 2(6 + -8x) Reorder the terms: -40 + -4 + 40x = 2(6 + -8x) Combine like terms: -40 + -4 = -44 -44 + 40x = 2(6 + -8x) -44 + 40x = (6 * 2 + -8x * 2) -44 + 40x = (12 + -16x) Solving -44 + 40x = 12 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. -44 + 40x + 16x = 12 + -16x + 16x Combine like terms: 40x + 16x = 56x -44 + 56x = 12 + -16x + 16x Combine like terms: -16x + 16x = 0 -44 + 56x = 12 + 0 -44 + 56x = 12 Add '44' to each side of the equation. -44 + 44 + 56x = 12 + 44 Combine like terms: -44 + 44 = 0 0 + 56x = 12 + 44 56x = 12 + 44 Combine like terms: 12 + 44 = 56 56x = 56 Divide each side by '56'. x = 1 Simplifying x = 1
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