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Simplifying 7x + 4(5 + -1x) = 24x + -3(x + -4) 7x + (5 * 4 + -1x * 4) = 24x + -3(x + -4) 7x + (20 + -4x) = 24x + -3(x + -4) Reorder the terms: 20 + 7x + -4x = 24x + -3(x + -4) Combine like terms: 7x + -4x = 3x 20 + 3x = 24x + -3(x + -4) Reorder the terms: 20 + 3x = 24x + -3(-4 + x) 20 + 3x = 24x + (-4 * -3 + x * -3) 20 + 3x = 24x + (12 + -3x) Reorder the terms: 20 + 3x = 12 + 24x + -3x Combine like terms: 24x + -3x = 21x 20 + 3x = 12 + 21x Solving 20 + 3x = 12 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 20 + 3x + -21x = 12 + 21x + -21x Combine like terms: 3x + -21x = -18x 20 + -18x = 12 + 21x + -21x Combine like terms: 21x + -21x = 0 20 + -18x = 12 + 0 20 + -18x = 12 Add '-20' to each side of the equation. 20 + -20 + -18x = 12 + -20 Combine like terms: 20 + -20 = 0 0 + -18x = 12 + -20 -18x = 12 + -20 Combine like terms: 12 + -20 = -8 -18x = -8 Divide each side by '-18'. x = 0.4444444444 Simplifying x = 0.4444444444
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