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Simplifying -7(x + 4) + 2x + 7 = 7x + 10 Reorder the terms: -7(4 + x) + 2x + 7 = 7x + 10 (4 * -7 + x * -7) + 2x + 7 = 7x + 10 (-28 + -7x) + 2x + 7 = 7x + 10 Reorder the terms: -28 + 7 + -7x + 2x = 7x + 10 Combine like terms: -28 + 7 = -21 -21 + -7x + 2x = 7x + 10 Combine like terms: -7x + 2x = -5x -21 + -5x = 7x + 10 Reorder the terms: -21 + -5x = 10 + 7x Solving -21 + -5x = 10 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -21 + -5x + -7x = 10 + 7x + -7x Combine like terms: -5x + -7x = -12x -21 + -12x = 10 + 7x + -7x Combine like terms: 7x + -7x = 0 -21 + -12x = 10 + 0 -21 + -12x = 10 Add '21' to each side of the equation. -21 + 21 + -12x = 10 + 21 Combine like terms: -21 + 21 = 0 0 + -12x = 10 + 21 -12x = 10 + 21 Combine like terms: 10 + 21 = 31 -12x = 31 Divide each side by '-12'. x = -2.583333333 Simplifying x = -2.583333333
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