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Simplifying 19 + -5x(4x + 1) = 40 + -10x(2x + -1) Reorder the terms: 19 + -5x(1 + 4x) = 40 + -10x(2x + -1) 19 + (1 * -5x + 4x * -5x) = 40 + -10x(2x + -1) 19 + (-5x + -20x2) = 40 + -10x(2x + -1) Reorder the terms: 19 + -5x + -20x2 = 40 + -10x(-1 + 2x) 19 + -5x + -20x2 = 40 + (-1 * -10x + 2x * -10x) 19 + -5x + -20x2 = 40 + (10x + -20x2) Add '20x2' to each side of the equation. 19 + -5x + -20x2 + 20x2 = 40 + 10x + -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 19 + -5x + 0 = 40 + 10x + -20x2 + 20x2 19 + -5x = 40 + 10x + -20x2 + 20x2 Combine like terms: -20x2 + 20x2 = 0 19 + -5x = 40 + 10x + 0 19 + -5x = 40 + 10x Solving 19 + -5x = 40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 19 + -5x + -10x = 40 + 10x + -10x Combine like terms: -5x + -10x = -15x 19 + -15x = 40 + 10x + -10x Combine like terms: 10x + -10x = 0 19 + -15x = 40 + 0 19 + -15x = 40 Add '-19' to each side of the equation. 19 + -19 + -15x = 40 + -19 Combine like terms: 19 + -19 = 0 0 + -15x = 40 + -19 -15x = 40 + -19 Combine like terms: 40 + -19 = 21 -15x = 21 Divide each side by '-15'. x = -1.4 Simplifying x = -1.4
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