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Simplifying 3(5x + -4) = -5 + 8x Reorder the terms: 3(-4 + 5x) = -5 + 8x (-4 * 3 + 5x * 3) = -5 + 8x (-12 + 15x) = -5 + 8x Solving -12 + 15x = -5 + 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. -12 + 15x + -8x = -5 + 8x + -8x Combine like terms: 15x + -8x = 7x -12 + 7x = -5 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + 7x = -5 + 0 -12 + 7x = -5 Add '12' to each side of the equation. -12 + 12 + 7x = -5 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -5 + 12 7x = -5 + 12 Combine like terms: -5 + 12 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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