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Simplifying 3x + -7 = 5(x + -1) + -4 Reorder the terms: -7 + 3x = 5(x + -1) + -4 Reorder the terms: -7 + 3x = 5(-1 + x) + -4 -7 + 3x = (-1 * 5 + x * 5) + -4 -7 + 3x = (-5 + 5x) + -4 Reorder the terms: -7 + 3x = -5 + -4 + 5x Combine like terms: -5 + -4 = -9 -7 + 3x = -9 + 5x Solving -7 + 3x = -9 + 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. -7 + 3x + -5x = -9 + 5x + -5x Combine like terms: 3x + -5x = -2x -7 + -2x = -9 + 5x + -5x Combine like terms: 5x + -5x = 0 -7 + -2x = -9 + 0 -7 + -2x = -9 Add '7' to each side of the equation. -7 + 7 + -2x = -9 + 7 Combine like terms: -7 + 7 = 0 0 + -2x = -9 + 7 -2x = -9 + 7 Combine like terms: -9 + 7 = -2 -2x = -2 Divide each side by '-2'. x = 1 Simplifying x = 1
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