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Simplifying 10 + -8x + (5x + -7) = -1(4x + -2) + -9 Reorder the terms: 10 + -8x + (-7 + 5x) = -1(4x + -2) + -9 Remove parenthesis around (-7 + 5x) 10 + -8x + -7 + 5x = -1(4x + -2) + -9 Reorder the terms: 10 + -7 + -8x + 5x = -1(4x + -2) + -9 Combine like terms: 10 + -7 = 3 3 + -8x + 5x = -1(4x + -2) + -9 Combine like terms: -8x + 5x = -3x 3 + -3x = -1(4x + -2) + -9 Reorder the terms: 3 + -3x = -1(-2 + 4x) + -9 3 + -3x = (-2 * -1 + 4x * -1) + -9 3 + -3x = (2 + -4x) + -9 Reorder the terms: 3 + -3x = 2 + -9 + -4x Combine like terms: 2 + -9 = -7 3 + -3x = -7 + -4x Solving 3 + -3x = -7 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 3 + -3x + 4x = -7 + -4x + 4x Combine like terms: -3x + 4x = 1x 3 + 1x = -7 + -4x + 4x Combine like terms: -4x + 4x = 0 3 + 1x = -7 + 0 3 + 1x = -7 Add '-3' to each side of the equation. 3 + -3 + 1x = -7 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -7 + -3 1x = -7 + -3 Combine like terms: -7 + -3 = -10 1x = -10 Divide each side by '1'. x = -10 Simplifying x = -10
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