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Simplifying 1 + 3(x + -2) = 11 + -7(x + -1) Reorder the terms: 1 + 3(-2 + x) = 11 + -7(x + -1) 1 + (-2 * 3 + x * 3) = 11 + -7(x + -1) 1 + (-6 + 3x) = 11 + -7(x + -1) Combine like terms: 1 + -6 = -5 -5 + 3x = 11 + -7(x + -1) Reorder the terms: -5 + 3x = 11 + -7(-1 + x) -5 + 3x = 11 + (-1 * -7 + x * -7) -5 + 3x = 11 + (7 + -7x) Combine like terms: 11 + 7 = 18 -5 + 3x = 18 + -7x Solving -5 + 3x = 18 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 3x + 7x = 18 + -7x + 7x Combine like terms: 3x + 7x = 10x -5 + 10x = 18 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 10x = 18 + 0 -5 + 10x = 18 Add '5' to each side of the equation. -5 + 5 + 10x = 18 + 5 Combine like terms: -5 + 5 = 0 0 + 10x = 18 + 5 10x = 18 + 5 Combine like terms: 18 + 5 = 23 10x = 23 Divide each side by '10'. x = 2.3 Simplifying x = 2.3
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