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Simplifying 9(x + -3) + 7 = 5x + -47 Reorder the terms: 9(-3 + x) + 7 = 5x + -47 (-3 * 9 + x * 9) + 7 = 5x + -47 (-27 + 9x) + 7 = 5x + -47 Reorder the terms: -27 + 7 + 9x = 5x + -47 Combine like terms: -27 + 7 = -20 -20 + 9x = 5x + -47 Reorder the terms: -20 + 9x = -47 + 5x Solving -20 + 9x = -47 + 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. -20 + 9x + -5x = -47 + 5x + -5x Combine like terms: 9x + -5x = 4x -20 + 4x = -47 + 5x + -5x Combine like terms: 5x + -5x = 0 -20 + 4x = -47 + 0 -20 + 4x = -47 Add '20' to each side of the equation. -20 + 20 + 4x = -47 + 20 Combine like terms: -20 + 20 = 0 0 + 4x = -47 + 20 4x = -47 + 20 Combine like terms: -47 + 20 = -27 4x = -27 Divide each side by '4'. x = -6.75 Simplifying x = -6.75
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