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Simplifying 7(7x + -7) + -9(x + 9) = 10x + -2 + -2x Reorder the terms: 7(-7 + 7x) + -9(x + 9) = 10x + -2 + -2x (-7 * 7 + 7x * 7) + -9(x + 9) = 10x + -2 + -2x (-49 + 49x) + -9(x + 9) = 10x + -2 + -2x Reorder the terms: -49 + 49x + -9(9 + x) = 10x + -2 + -2x -49 + 49x + (9 * -9 + x * -9) = 10x + -2 + -2x -49 + 49x + (-81 + -9x) = 10x + -2 + -2x Reorder the terms: -49 + -81 + 49x + -9x = 10x + -2 + -2x Combine like terms: -49 + -81 = -130 -130 + 49x + -9x = 10x + -2 + -2x Combine like terms: 49x + -9x = 40x -130 + 40x = 10x + -2 + -2x Reorder the terms: -130 + 40x = -2 + 10x + -2x Combine like terms: 10x + -2x = 8x -130 + 40x = -2 + 8x Solving -130 + 40x = -2 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -130 + 40x + -8x = -2 + 8x + -8x Combine like terms: 40x + -8x = 32x -130 + 32x = -2 + 8x + -8x Combine like terms: 8x + -8x = 0 -130 + 32x = -2 + 0 -130 + 32x = -2 Add '130' to each side of the equation. -130 + 130 + 32x = -2 + 130 Combine like terms: -130 + 130 = 0 0 + 32x = -2 + 130 32x = -2 + 130 Combine like terms: -2 + 130 = 128 32x = 128 Divide each side by '32'. x = 4 Simplifying x = 4
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