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Simplifying 10(7x + -3) + 11x = 7 + 7(9x + 5) Reorder the terms: 10(-3 + 7x) + 11x = 7 + 7(9x + 5) (-3 * 10 + 7x * 10) + 11x = 7 + 7(9x + 5) (-30 + 70x) + 11x = 7 + 7(9x + 5) Combine like terms: 70x + 11x = 81x -30 + 81x = 7 + 7(9x + 5) Reorder the terms: -30 + 81x = 7 + 7(5 + 9x) -30 + 81x = 7 + (5 * 7 + 9x * 7) -30 + 81x = 7 + (35 + 63x) Combine like terms: 7 + 35 = 42 -30 + 81x = 42 + 63x Solving -30 + 81x = 42 + 63x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63x' to each side of the equation. -30 + 81x + -63x = 42 + 63x + -63x Combine like terms: 81x + -63x = 18x -30 + 18x = 42 + 63x + -63x Combine like terms: 63x + -63x = 0 -30 + 18x = 42 + 0 -30 + 18x = 42 Add '30' to each side of the equation. -30 + 30 + 18x = 42 + 30 Combine like terms: -30 + 30 = 0 0 + 18x = 42 + 30 18x = 42 + 30 Combine like terms: 42 + 30 = 72 18x = 72 Divide each side by '18'. x = 4 Simplifying x = 4
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