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Simplifying 4(3x + -8) = 5(x + -3) + -3 Reorder the terms: 4(-8 + 3x) = 5(x + -3) + -3 (-8 * 4 + 3x * 4) = 5(x + -3) + -3 (-32 + 12x) = 5(x + -3) + -3 Reorder the terms: -32 + 12x = 5(-3 + x) + -3 -32 + 12x = (-3 * 5 + x * 5) + -3 -32 + 12x = (-15 + 5x) + -3 Reorder the terms: -32 + 12x = -15 + -3 + 5x Combine like terms: -15 + -3 = -18 -32 + 12x = -18 + 5x Solving -32 + 12x = -18 + 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 + 12x + -5x = -18 + 5x + -5x Combine like terms: 12x + -5x = 7x -32 + 7x = -18 + 5x + -5x Combine like terms: 5x + -5x = 0 -32 + 7x = -18 + 0 -32 + 7x = -18 Add '32' to each side of the equation. -32 + 32 + 7x = -18 + 32 Combine like terms: -32 + 32 = 0 0 + 7x = -18 + 32 7x = -18 + 32 Combine like terms: -18 + 32 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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