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Simplifying 9[5 + -6(x + -1)] + 4[(4x + 3) + -6] = 16x + -340 Reorder the terms: 9[5 + -6(-1 + x)] + 4[(4x + 3) + -6] = 16x + -340 9[5 + (-1 * -6 + x * -6)] + 4[(4x + 3) + -6] = 16x + -340 9[5 + (6 + -6x)] + 4[(4x + 3) + -6] = 16x + -340 Combine like terms: 5 + 6 = 11 9[11 + -6x] + 4[(4x + 3) + -6] = 16x + -340 [11 * 9 + -6x * 9] + 4[(4x + 3) + -6] = 16x + -340 [99 + -54x] + 4[(4x + 3) + -6] = 16x + -340 Reorder the terms: 99 + -54x + 4[(3 + 4x) + -6] = 16x + -340 Remove parenthesis around (3 + 4x) 99 + -54x + 4[3 + 4x + -6] = 16x + -340 Reorder the terms: 99 + -54x + 4[3 + -6 + 4x] = 16x + -340 Combine like terms: 3 + -6 = -3 99 + -54x + 4[-3 + 4x] = 16x + -340 99 + -54x + [-3 * 4 + 4x * 4] = 16x + -340 99 + -54x + [-12 + 16x] = 16x + -340 Reorder the terms: 99 + -12 + -54x + 16x = 16x + -340 Combine like terms: 99 + -12 = 87 87 + -54x + 16x = 16x + -340 Combine like terms: -54x + 16x = -38x 87 + -38x = 16x + -340 Reorder the terms: 87 + -38x = -340 + 16x Solving 87 + -38x = -340 + 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 + -38x + -16x = -340 + 16x + -16x Combine like terms: -38x + -16x = -54x 87 + -54x = -340 + 16x + -16x Combine like terms: 16x + -16x = 0 87 + -54x = -340 + 0 87 + -54x = -340 Add '-87' to each side of the equation. 87 + -87 + -54x = -340 + -87 Combine like terms: 87 + -87 = 0 0 + -54x = -340 + -87 -54x = -340 + -87 Combine like terms: -340 + -87 = -427 -54x = -427 Divide each side by '-54'. x = 7.907407407 Simplifying x = 7.907407407
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