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Simplifying 7(x + 1) + -2(2x + 3) + -10(1 + -3x) = 30 Reorder the terms: 7(1 + x) + -2(2x + 3) + -10(1 + -3x) = 30 (1 * 7 + x * 7) + -2(2x + 3) + -10(1 + -3x) = 30 (7 + 7x) + -2(2x + 3) + -10(1 + -3x) = 30 Reorder the terms: 7 + 7x + -2(3 + 2x) + -10(1 + -3x) = 30 7 + 7x + (3 * -2 + 2x * -2) + -10(1 + -3x) = 30 7 + 7x + (-6 + -4x) + -10(1 + -3x) = 30 7 + 7x + -6 + -4x + (1 * -10 + -3x * -10) = 30 7 + 7x + -6 + -4x + (-10 + 30x) = 30 Reorder the terms: 7 + -6 + -10 + 7x + -4x + 30x = 30 Combine like terms: 7 + -6 = 1 1 + -10 + 7x + -4x + 30x = 30 Combine like terms: 1 + -10 = -9 -9 + 7x + -4x + 30x = 30 Combine like terms: 7x + -4x = 3x -9 + 3x + 30x = 30 Combine like terms: 3x + 30x = 33x -9 + 33x = 30 Solving -9 + 33x = 30 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 33x = 30 + 9 Combine like terms: -9 + 9 = 0 0 + 33x = 30 + 9 33x = 30 + 9 Combine like terms: 30 + 9 = 39 33x = 39 Divide each side by '33'. x = 1.181818182 Simplifying x = 1.181818182
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