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Simplifying 4(2x + -1) = 7(16x + -8) Reorder the terms: 4(-1 + 2x) = 7(16x + -8) (-1 * 4 + 2x * 4) = 7(16x + -8) (-4 + 8x) = 7(16x + -8) Reorder the terms: -4 + 8x = 7(-8 + 16x) -4 + 8x = (-8 * 7 + 16x * 7) -4 + 8x = (-56 + 112x) Solving -4 + 8x = -56 + 112x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-112x' to each side of the equation. -4 + 8x + -112x = -56 + 112x + -112x Combine like terms: 8x + -112x = -104x -4 + -104x = -56 + 112x + -112x Combine like terms: 112x + -112x = 0 -4 + -104x = -56 + 0 -4 + -104x = -56 Add '4' to each side of the equation. -4 + 4 + -104x = -56 + 4 Combine like terms: -4 + 4 = 0 0 + -104x = -56 + 4 -104x = -56 + 4 Combine like terms: -56 + 4 = -52 -104x = -52 Divide each side by '-104'. x = 0.5 Simplifying x = 0.5
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