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Simplifying 3(3x + -4) = 2x + -47 Reorder the terms: 3(-4 + 3x) = 2x + -47 (-4 * 3 + 3x * 3) = 2x + -47 (-12 + 9x) = 2x + -47 Reorder the terms: -12 + 9x = -47 + 2x Solving -12 + 9x = -47 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -12 + 9x + -2x = -47 + 2x + -2x Combine like terms: 9x + -2x = 7x -12 + 7x = -47 + 2x + -2x Combine like terms: 2x + -2x = 0 -12 + 7x = -47 + 0 -12 + 7x = -47 Add '12' to each side of the equation. -12 + 12 + 7x = -47 + 12 Combine like terms: -12 + 12 = 0 0 + 7x = -47 + 12 7x = -47 + 12 Combine like terms: -47 + 12 = -35 7x = -35 Divide each side by '7'. x = -5 Simplifying x = -5
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