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Simplifying 90 + -1(16x + -4) = 90 + -1(2x + 13) Reorder the terms: 90 + -1(-4 + 16x) = 90 + -1(2x + 13) 90 + (-4 * -1 + 16x * -1) = 90 + -1(2x + 13) 90 + (4 + -16x) = 90 + -1(2x + 13) Combine like terms: 90 + 4 = 94 94 + -16x = 90 + -1(2x + 13) Reorder the terms: 94 + -16x = 90 + -1(13 + 2x) 94 + -16x = 90 + (13 * -1 + 2x * -1) 94 + -16x = 90 + (-13 + -2x) Combine like terms: 90 + -13 = 77 94 + -16x = 77 + -2x Solving 94 + -16x = 77 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 94 + -16x + 2x = 77 + -2x + 2x Combine like terms: -16x + 2x = -14x 94 + -14x = 77 + -2x + 2x Combine like terms: -2x + 2x = 0 94 + -14x = 77 + 0 94 + -14x = 77 Add '-94' to each side of the equation. 94 + -94 + -14x = 77 + -94 Combine like terms: 94 + -94 = 0 0 + -14x = 77 + -94 -14x = 77 + -94 Combine like terms: 77 + -94 = -17 -14x = -17 Divide each side by '-14'. x = 1.214285714 Simplifying x = 1.214285714
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