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Simplifying -11(x + 3) + (3x + 16) + 18 = (8 + -3x) * 7 Reorder the terms: -11(3 + x) + (3x + 16) + 18 = (8 + -3x) * 7 (3 * -11 + x * -11) + (3x + 16) + 18 = (8 + -3x) * 7 (-33 + -11x) + (3x + 16) + 18 = (8 + -3x) * 7 Reorder the terms: -33 + -11x + (16 + 3x) + 18 = (8 + -3x) * 7 Remove parenthesis around (16 + 3x) -33 + -11x + 16 + 3x + 18 = (8 + -3x) * 7 Reorder the terms: -33 + 16 + 18 + -11x + 3x = (8 + -3x) * 7 Combine like terms: -33 + 16 = -17 -17 + 18 + -11x + 3x = (8 + -3x) * 7 Combine like terms: -17 + 18 = 1 1 + -11x + 3x = (8 + -3x) * 7 Combine like terms: -11x + 3x = -8x 1 + -8x = (8 + -3x) * 7 Reorder the terms for easier multiplication: 1 + -8x = 7(8 + -3x) 1 + -8x = (8 * 7 + -3x * 7) 1 + -8x = (56 + -21x) Solving 1 + -8x = 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. 1 + -8x + 21x = 56 + -21x + 21x Combine like terms: -8x + 21x = 13x 1 + 13x = 56 + -21x + 21x Combine like terms: -21x + 21x = 0 1 + 13x = 56 + 0 1 + 13x = 56 Add '-1' to each side of the equation. 1 + -1 + 13x = 56 + -1 Combine like terms: 1 + -1 = 0 0 + 13x = 56 + -1 13x = 56 + -1 Combine like terms: 56 + -1 = 55 13x = 55 Divide each side by '13'. x = 4.230769231 Simplifying x = 4.230769231
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