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Simplifying -3x + 4(2x + -3) = -2x + -47 Reorder the terms: -3x + 4(-3 + 2x) = -2x + -47 -3x + (-3 * 4 + 2x * 4) = -2x + -47 -3x + (-12 + 8x) = -2x + -47 Reorder the terms: -12 + -3x + 8x = -2x + -47 Combine like terms: -3x + 8x = 5x -12 + 5x = -2x + -47 Reorder the terms: -12 + 5x = -47 + -2x Solving -12 + 5x = -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 + 5x + 2x = -47 + -2x + 2x Combine like terms: 5x + 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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