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Simplifying 3(x + 15) + 1 = 1 + -4(11 + -1x) Reorder the terms: 3(15 + x) + 1 = 1 + -4(11 + -1x) (15 * 3 + x * 3) + 1 = 1 + -4(11 + -1x) (45 + 3x) + 1 = 1 + -4(11 + -1x) Reorder the terms: 45 + 1 + 3x = 1 + -4(11 + -1x) Combine like terms: 45 + 1 = 46 46 + 3x = 1 + -4(11 + -1x) 46 + 3x = 1 + (11 * -4 + -1x * -4) 46 + 3x = 1 + (-44 + 4x) Combine like terms: 1 + -44 = -43 46 + 3x = -43 + 4x Solving 46 + 3x = -43 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 46 + 3x + -4x = -43 + 4x + -4x Combine like terms: 3x + -4x = -1x 46 + -1x = -43 + 4x + -4x Combine like terms: 4x + -4x = 0 46 + -1x = -43 + 0 46 + -1x = -43 Add '-46' to each side of the equation. 46 + -46 + -1x = -43 + -46 Combine like terms: 46 + -46 = 0 0 + -1x = -43 + -46 -1x = -43 + -46 Combine like terms: -43 + -46 = -89 -1x = -89 Divide each side by '-1'. x = 89 Simplifying x = 89
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