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Simplifying 8(2x + -4) = 5(x + 3) Reorder the terms: 8(-4 + 2x) = 5(x + 3) (-4 * 8 + 2x * 8) = 5(x + 3) (-32 + 16x) = 5(x + 3) Reorder the terms: -32 + 16x = 5(3 + x) -32 + 16x = (3 * 5 + x * 5) -32 + 16x = (15 + 5x) Solving -32 + 16x = 15 + 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 + 16x + -5x = 15 + 5x + -5x Combine like terms: 16x + -5x = 11x -32 + 11x = 15 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 11x = 15 + 0 -32 + 11x = 15 Add '32' to each side of the equation. -32 + 32 + 11x = 15 + 32 Combine like terms: -32 + 32 = 0 0 + 11x = 15 + 32 11x = 15 + 32 Combine like terms: 15 + 32 = 47 11x = 47 Divide each side by '11'. x = 4.272727273 Simplifying x = 4.272727273
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