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Simplifying 7x + 4(x + -5) = 24x + -3(x + 4) Reorder the terms: 7x + 4(-5 + x) = 24x + -3(x + 4) 7x + (-5 * 4 + x * 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 = 11x -20 + 11x = 24x + -3(x + 4) Reorder the terms: -20 + 11x = 24x + -3(4 + x) -20 + 11x = 24x + (4 * -3 + x * -3) -20 + 11x = 24x + (-12 + -3x) Reorder the terms: -20 + 11x = -12 + 24x + -3x Combine like terms: 24x + -3x = 21x -20 + 11x = -12 + 21x Solving -20 + 11x = -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 + 11x + -21x = -12 + 21x + -21x Combine like terms: 11x + -21x = -10x -20 + -10x = -12 + 21x + -21x Combine like terms: 21x + -21x = 0 -20 + -10x = -12 + 0 -20 + -10x = -12 Add '20' to each side of the equation. -20 + 20 + -10x = -12 + 20 Combine like terms: -20 + 20 = 0 0 + -10x = -12 + 20 -10x = -12 + 20 Combine like terms: -12 + 20 = 8 -10x = 8 Divide each side by '-10'. x = -0.8 Simplifying x = -0.8
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