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Simplifying 3(3x + -4) = 5(x + 8) Reorder the terms: 3(-4 + 3x) = 5(x + 8) (-4 * 3 + 3x * 3) = 5(x + 8) (-12 + 9x) = 5(x + 8) Reorder the terms: -12 + 9x = 5(8 + x) -12 + 9x = (8 * 5 + x * 5) -12 + 9x = (40 + 5x) Solving -12 + 9x = 40 + 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. -12 + 9x + -5x = 40 + 5x + -5x Combine like terms: 9x + -5x = 4x -12 + 4x = 40 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + 4x = 40 + 0 -12 + 4x = 40 Add '12' to each side of the equation. -12 + 12 + 4x = 40 + 12 Combine like terms: -12 + 12 = 0 0 + 4x = 40 + 12 4x = 40 + 12 Combine like terms: 40 + 12 = 52 4x = 52 Divide each side by '4'. x = 13 Simplifying x = 13
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