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Simplifying 7(x + -11) + -7 = 19x + -204 Reorder the terms: 7(-11 + x) + -7 = 19x + -204 (-11 * 7 + x * 7) + -7 = 19x + -204 (-77 + 7x) + -7 = 19x + -204 Reorder the terms: -77 + -7 + 7x = 19x + -204 Combine like terms: -77 + -7 = -84 -84 + 7x = 19x + -204 Reorder the terms: -84 + 7x = -204 + 19x Solving -84 + 7x = -204 + 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. -84 + 7x + -19x = -204 + 19x + -19x Combine like terms: 7x + -19x = -12x -84 + -12x = -204 + 19x + -19x Combine like terms: 19x + -19x = 0 -84 + -12x = -204 + 0 -84 + -12x = -204 Add '84' to each side of the equation. -84 + 84 + -12x = -204 + 84 Combine like terms: -84 + 84 = 0 0 + -12x = -204 + 84 -12x = -204 + 84 Combine like terms: -204 + 84 = -120 -12x = -120 Divide each side by '-12'. x = 10 Simplifying x = 10
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