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Simplifying 5 + -1(9x + 7) = 10x + (3 + -3x) Reorder the terms: 5 + -1(7 + 9x) = 10x + (3 + -3x) 5 + (7 * -1 + 9x * -1) = 10x + (3 + -3x) 5 + (-7 + -9x) = 10x + (3 + -3x) Combine like terms: 5 + -7 = -2 -2 + -9x = 10x + (3 + -3x) Remove parenthesis around (3 + -3x) -2 + -9x = 10x + 3 + -3x Reorder the terms: -2 + -9x = 3 + 10x + -3x Combine like terms: 10x + -3x = 7x -2 + -9x = 3 + 7x Solving -2 + -9x = 3 + 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. -2 + -9x + -7x = 3 + 7x + -7x Combine like terms: -9x + -7x = -16x -2 + -16x = 3 + 7x + -7x Combine like terms: 7x + -7x = 0 -2 + -16x = 3 + 0 -2 + -16x = 3 Add '2' to each side of the equation. -2 + 2 + -16x = 3 + 2 Combine like terms: -2 + 2 = 0 0 + -16x = 3 + 2 -16x = 3 + 2 Combine like terms: 3 + 2 = 5 -16x = 5 Divide each side by '-16'. x = -0.3125 Simplifying x = -0.3125
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