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Simplifying 2x + 8(4x + 5) = 16x + 64(32x + 40) Reorder the terms: 2x + 8(5 + 4x) = 16x + 64(32x + 40) 2x + (5 * 8 + 4x * 8) = 16x + 64(32x + 40) 2x + (40 + 32x) = 16x + 64(32x + 40) Reorder the terms: 40 + 2x + 32x = 16x + 64(32x + 40) Combine like terms: 2x + 32x = 34x 40 + 34x = 16x + 64(32x + 40) Reorder the terms: 40 + 34x = 16x + 64(40 + 32x) 40 + 34x = 16x + (40 * 64 + 32x * 64) 40 + 34x = 16x + (2560 + 2048x) Reorder the terms: 40 + 34x = 2560 + 16x + 2048x Combine like terms: 16x + 2048x = 2064x 40 + 34x = 2560 + 2064x Solving 40 + 34x = 2560 + 2064x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2064x' to each side of the equation. 40 + 34x + -2064x = 2560 + 2064x + -2064x Combine like terms: 34x + -2064x = -2030x 40 + -2030x = 2560 + 2064x + -2064x Combine like terms: 2064x + -2064x = 0 40 + -2030x = 2560 + 0 40 + -2030x = 2560 Add '-40' to each side of the equation. 40 + -40 + -2030x = 2560 + -40 Combine like terms: 40 + -40 = 0 0 + -2030x = 2560 + -40 -2030x = 2560 + -40 Combine like terms: 2560 + -40 = 2520 -2030x = 2520 Divide each side by '-2030'. x = -1.24137931 Simplifying x = -1.24137931
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