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Simplifying -5(4x + -7) * 8 = 3x Reorder the terms: -5(-7 + 4x) * 8 = 3x Reorder the terms for easier multiplication: -5 * 8(-7 + 4x) = 3x Multiply -5 * 8 -40(-7 + 4x) = 3x (-7 * -40 + 4x * -40) = 3x (280 + -160x) = 3x Solving 280 + -160x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 280 + -160x + -3x = 3x + -3x Combine like terms: -160x + -3x = -163x 280 + -163x = 3x + -3x Combine like terms: 3x + -3x = 0 280 + -163x = 0 Add '-280' to each side of the equation. 280 + -280 + -163x = 0 + -280 Combine like terms: 280 + -280 = 0 0 + -163x = 0 + -280 -163x = 0 + -280 Combine like terms: 0 + -280 = -280 -163x = -280 Divide each side by '-163'. x = 1.717791411 Simplifying x = 1.717791411
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