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Simplifying -11(x + 3) + 18 = 7(8 + -3x) Reorder the terms: -11(3 + x) + 18 = 7(8 + -3x) (3 * -11 + x * -11) + 18 = 7(8 + -3x) (-33 + -11x) + 18 = 7(8 + -3x) Reorder the terms: -33 + 18 + -11x = 7(8 + -3x) Combine like terms: -33 + 18 = -15 -15 + -11x = 7(8 + -3x) -15 + -11x = (8 * 7 + -3x * 7) -15 + -11x = (56 + -21x) Solving -15 + -11x = 56 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -15 + -11x + 21x = 56 + -21x + 21x Combine like terms: -11x + 21x = 10x -15 + 10x = 56 + -21x + 21x Combine like terms: -21x + 21x = 0 -15 + 10x = 56 + 0 -15 + 10x = 56 Add '15' to each side of the equation. -15 + 15 + 10x = 56 + 15 Combine like terms: -15 + 15 = 0 0 + 10x = 56 + 15 10x = 56 + 15 Combine like terms: 56 + 15 = 71 10x = 71 Divide each side by '10'. x = 7.1 Simplifying x = 7.1
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