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Simplifying 4(5x + -3) = 64(x + 1) Reorder the terms: 4(-3 + 5x) = 64(x + 1) (-3 * 4 + 5x * 4) = 64(x + 1) (-12 + 20x) = 64(x + 1) Reorder the terms: -12 + 20x = 64(1 + x) -12 + 20x = (1 * 64 + x * 64) -12 + 20x = (64 + 64x) Solving -12 + 20x = 64 + 64x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-64x' to each side of the equation. -12 + 20x + -64x = 64 + 64x + -64x Combine like terms: 20x + -64x = -44x -12 + -44x = 64 + 64x + -64x Combine like terms: 64x + -64x = 0 -12 + -44x = 64 + 0 -12 + -44x = 64 Add '12' to each side of the equation. -12 + 12 + -44x = 64 + 12 Combine like terms: -12 + 12 = 0 0 + -44x = 64 + 12 -44x = 64 + 12 Combine like terms: 64 + 12 = 76 -44x = 76 Divide each side by '-44'. x = -1.727272727 Simplifying x = -1.727272727
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