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Simplifying 8(3x + -4) = 5(x + 1) Reorder the terms: 8(-4 + 3x) = 5(x + 1) (-4 * 8 + 3x * 8) = 5(x + 1) (-32 + 24x) = 5(x + 1) Reorder the terms: -32 + 24x = 5(1 + x) -32 + 24x = (1 * 5 + x * 5) -32 + 24x = (5 + 5x) Solving -32 + 24x = 5 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -32 + 24x + -5x = 5 + 5x + -5x Combine like terms: 24x + -5x = 19x -32 + 19x = 5 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 19x = 5 + 0 -32 + 19x = 5 Add '32' to each side of the equation. -32 + 32 + 19x = 5 + 32 Combine like terms: -32 + 32 = 0 0 + 19x = 5 + 32 19x = 5 + 32 Combine like terms: 5 + 32 = 37 19x = 37 Divide each side by '19'. x = 1.947368421 Simplifying x = 1.947368421
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