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Simplifying 23 + 4(6x + -5) = 12(3x + -5) Reorder the terms: 23 + 4(-5 + 6x) = 12(3x + -5) 23 + (-5 * 4 + 6x * 4) = 12(3x + -5) 23 + (-20 + 24x) = 12(3x + -5) Combine like terms: 23 + -20 = 3 3 + 24x = 12(3x + -5) Reorder the terms: 3 + 24x = 12(-5 + 3x) 3 + 24x = (-5 * 12 + 3x * 12) 3 + 24x = (-60 + 36x) Solving 3 + 24x = -60 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 3 + 24x + -36x = -60 + 36x + -36x Combine like terms: 24x + -36x = -12x 3 + -12x = -60 + 36x + -36x Combine like terms: 36x + -36x = 0 3 + -12x = -60 + 0 3 + -12x = -60 Add '-3' to each side of the equation. 3 + -3 + -12x = -60 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = -60 + -3 -12x = -60 + -3 Combine like terms: -60 + -3 = -63 -12x = -63 Divide each side by '-12'. x = 5.25 Simplifying x = 5.25
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