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Simplifying 3(7 + 9x) + -5(5x + 1) = -8(9x + -4) (7 * 3 + 9x * 3) + -5(5x + 1) = -8(9x + -4) (21 + 27x) + -5(5x + 1) = -8(9x + -4) Reorder the terms: 21 + 27x + -5(1 + 5x) = -8(9x + -4) 21 + 27x + (1 * -5 + 5x * -5) = -8(9x + -4) 21 + 27x + (-5 + -25x) = -8(9x + -4) Reorder the terms: 21 + -5 + 27x + -25x = -8(9x + -4) Combine like terms: 21 + -5 = 16 16 + 27x + -25x = -8(9x + -4) Combine like terms: 27x + -25x = 2x 16 + 2x = -8(9x + -4) Reorder the terms: 16 + 2x = -8(-4 + 9x) 16 + 2x = (-4 * -8 + 9x * -8) 16 + 2x = (32 + -72x) Solving 16 + 2x = 32 + -72x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '72x' to each side of the equation. 16 + 2x + 72x = 32 + -72x + 72x Combine like terms: 2x + 72x = 74x 16 + 74x = 32 + -72x + 72x Combine like terms: -72x + 72x = 0 16 + 74x = 32 + 0 16 + 74x = 32 Add '-16' to each side of the equation. 16 + -16 + 74x = 32 + -16 Combine like terms: 16 + -16 = 0 0 + 74x = 32 + -16 74x = 32 + -16 Combine like terms: 32 + -16 = 16 74x = 16 Divide each side by '74'. x = 0.2162162162 Simplifying x = 0.2162162162
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