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Simplifying 7(x + -7) + -10x = -5(9 + x) Reorder the terms: 7(-7 + x) + -10x = -5(9 + x) (-7 * 7 + x * 7) + -10x = -5(9 + x) (-49 + 7x) + -10x = -5(9 + x) Combine like terms: 7x + -10x = -3x -49 + -3x = -5(9 + x) -49 + -3x = (9 * -5 + x * -5) -49 + -3x = (-45 + -5x) Solving -49 + -3x = -45 + -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. -49 + -3x + 5x = -45 + -5x + 5x Combine like terms: -3x + 5x = 2x -49 + 2x = -45 + -5x + 5x Combine like terms: -5x + 5x = 0 -49 + 2x = -45 + 0 -49 + 2x = -45 Add '49' to each side of the equation. -49 + 49 + 2x = -45 + 49 Combine like terms: -49 + 49 = 0 0 + 2x = -45 + 49 2x = -45 + 49 Combine like terms: -45 + 49 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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