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Simplifying 8(6x + 5) = -4(2x + 70) Reorder the terms: 8(5 + 6x) = -4(2x + 70) (5 * 8 + 6x * 8) = -4(2x + 70) (40 + 48x) = -4(2x + 70) Reorder the terms: 40 + 48x = -4(70 + 2x) 40 + 48x = (70 * -4 + 2x * -4) 40 + 48x = (-280 + -8x) Solving 40 + 48x = -280 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 40 + 48x + 8x = -280 + -8x + 8x Combine like terms: 48x + 8x = 56x 40 + 56x = -280 + -8x + 8x Combine like terms: -8x + 8x = 0 40 + 56x = -280 + 0 40 + 56x = -280 Add '-40' to each side of the equation. 40 + -40 + 56x = -280 + -40 Combine like terms: 40 + -40 = 0 0 + 56x = -280 + -40 56x = -280 + -40 Combine like terms: -280 + -40 = -320 56x = -320 Divide each side by '56'. x = -5.714285714 Simplifying x = -5.714285714
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