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Simplifying 5[2x + -4(3x + 1)] = -10x + 20 Reorder the terms: 5[2x + -4(1 + 3x)] = -10x + 20 5[2x + (1 * -4 + 3x * -4)] = -10x + 20 5[2x + (-4 + -12x)] = -10x + 20 Reorder the terms: 5[-4 + 2x + -12x] = -10x + 20 Combine like terms: 2x + -12x = -10x 5[-4 + -10x] = -10x + 20 [-4 * 5 + -10x * 5] = -10x + 20 [-20 + -50x] = -10x + 20 Reorder the terms: -20 + -50x = 20 + -10x Solving -20 + -50x = 20 + -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. -20 + -50x + 10x = 20 + -10x + 10x Combine like terms: -50x + 10x = -40x -20 + -40x = 20 + -10x + 10x Combine like terms: -10x + 10x = 0 -20 + -40x = 20 + 0 -20 + -40x = 20 Add '20' to each side of the equation. -20 + 20 + -40x = 20 + 20 Combine like terms: -20 + 20 = 0 0 + -40x = 20 + 20 -40x = 20 + 20 Combine like terms: 20 + 20 = 40 -40x = 40 Divide each side by '-40'. x = -1 Simplifying x = -1
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