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Simplifying 90 + -1(4x + 3) = (179 + -16x) Reorder the terms: 90 + -1(3 + 4x) = (179 + -16x) 90 + (3 * -1 + 4x * -1) = (179 + -16x) 90 + (-3 + -4x) = (179 + -16x) Combine like terms: 90 + -3 = 87 87 + -4x = (179 + -16x) Remove parenthesis around (179 + -16x) 87 + -4x = 179 + -16x Solving 87 + -4x = 179 + -16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16x' to each side of the equation. 87 + -4x + 16x = 179 + -16x + 16x Combine like terms: -4x + 16x = 12x 87 + 12x = 179 + -16x + 16x Combine like terms: -16x + 16x = 0 87 + 12x = 179 + 0 87 + 12x = 179 Add '-87' to each side of the equation. 87 + -87 + 12x = 179 + -87 Combine like terms: 87 + -87 = 0 0 + 12x = 179 + -87 12x = 179 + -87 Combine like terms: 179 + -87 = 92 12x = 92 Divide each side by '12'. x = 7.666666667 Simplifying x = 7.666666667
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