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Simplifying 16(3x + 5) = 40 + 10(4x + 8) Reorder the terms: 16(5 + 3x) = 40 + 10(4x + 8) (5 * 16 + 3x * 16) = 40 + 10(4x + 8) (80 + 48x) = 40 + 10(4x + 8) Reorder the terms: 80 + 48x = 40 + 10(8 + 4x) 80 + 48x = 40 + (8 * 10 + 4x * 10) 80 + 48x = 40 + (80 + 40x) Combine like terms: 40 + 80 = 120 80 + 48x = 120 + 40x Solving 80 + 48x = 120 + 40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40x' to each side of the equation. 80 + 48x + -40x = 120 + 40x + -40x Combine like terms: 48x + -40x = 8x 80 + 8x = 120 + 40x + -40x Combine like terms: 40x + -40x = 0 80 + 8x = 120 + 0 80 + 8x = 120 Add '-80' to each side of the equation. 80 + -80 + 8x = 120 + -80 Combine like terms: 80 + -80 = 0 0 + 8x = 120 + -80 8x = 120 + -80 Combine like terms: 120 + -80 = 40 8x = 40 Divide each side by '8'. x = 5 Simplifying x = 5
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