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Simplifying 8(3x + -4) = 4(2x + 1) Reorder the terms: 8(-4 + 3x) = 4(2x + 1) (-4 * 8 + 3x * 8) = 4(2x + 1) (-32 + 24x) = 4(2x + 1) Reorder the terms: -32 + 24x = 4(1 + 2x) -32 + 24x = (1 * 4 + 2x * 4) -32 + 24x = (4 + 8x) Solving -32 + 24x = 4 + 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. -32 + 24x + -8x = 4 + 8x + -8x Combine like terms: 24x + -8x = 16x -32 + 16x = 4 + 8x + -8x Combine like terms: 8x + -8x = 0 -32 + 16x = 4 + 0 -32 + 16x = 4 Add '32' to each side of the equation. -32 + 32 + 16x = 4 + 32 Combine like terms: -32 + 32 = 0 0 + 16x = 4 + 32 16x = 4 + 32 Combine like terms: 4 + 32 = 36 16x = 36 Divide each side by '16'. x = 2.25 Simplifying x = 2.25
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