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Simplifying 4(8x + -16) + -3(3x + -39) = 5(5x + -40) Reorder the terms: 4(-16 + 8x) + -3(3x + -39) = 5(5x + -40) (-16 * 4 + 8x * 4) + -3(3x + -39) = 5(5x + -40) (-64 + 32x) + -3(3x + -39) = 5(5x + -40) Reorder the terms: -64 + 32x + -3(-39 + 3x) = 5(5x + -40) -64 + 32x + (-39 * -3 + 3x * -3) = 5(5x + -40) -64 + 32x + (117 + -9x) = 5(5x + -40) Reorder the terms: -64 + 117 + 32x + -9x = 5(5x + -40) Combine like terms: -64 + 117 = 53 53 + 32x + -9x = 5(5x + -40) Combine like terms: 32x + -9x = 23x 53 + 23x = 5(5x + -40) Reorder the terms: 53 + 23x = 5(-40 + 5x) 53 + 23x = (-40 * 5 + 5x * 5) 53 + 23x = (-200 + 25x) Solving 53 + 23x = -200 + 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 53 + 23x + -25x = -200 + 25x + -25x Combine like terms: 23x + -25x = -2x 53 + -2x = -200 + 25x + -25x Combine like terms: 25x + -25x = 0 53 + -2x = -200 + 0 53 + -2x = -200 Add '-53' to each side of the equation. 53 + -53 + -2x = -200 + -53 Combine like terms: 53 + -53 = 0 0 + -2x = -200 + -53 -2x = -200 + -53 Combine like terms: -200 + -53 = -253 -2x = -253 Divide each side by '-2'. x = 126.5 Simplifying x = 126.5
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