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Simplifying -101 = 7x + -4(-3x + -8) Reorder the terms: -101 = 7x + -4(-8 + -3x) -101 = 7x + (-8 * -4 + -3x * -4) -101 = 7x + (32 + 12x) Reorder the terms: -101 = 32 + 7x + 12x Combine like terms: 7x + 12x = 19x -101 = 32 + 19x Solving -101 = 32 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -101 + -19x = 32 + 19x + -19x Combine like terms: 19x + -19x = 0 -101 + -19x = 32 + 0 -101 + -19x = 32 Add '101' to each side of the equation. -101 + 101 + -19x = 32 + 101 Combine like terms: -101 + 101 = 0 0 + -19x = 32 + 101 -19x = 32 + 101 Combine like terms: 32 + 101 = 133 -19x = 133 Divide each side by '-19'. x = -7 Simplifying x = -7
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