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Simplifying 6x + 3(5x + -4) = 12(2x + -5) Reorder the terms: 6x + 3(-4 + 5x) = 12(2x + -5) 6x + (-4 * 3 + 5x * 3) = 12(2x + -5) 6x + (-12 + 15x) = 12(2x + -5) Reorder the terms: -12 + 6x + 15x = 12(2x + -5) Combine like terms: 6x + 15x = 21x -12 + 21x = 12(2x + -5) Reorder the terms: -12 + 21x = 12(-5 + 2x) -12 + 21x = (-5 * 12 + 2x * 12) -12 + 21x = (-60 + 24x) Solving -12 + 21x = -60 + 24x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24x' to each side of the equation. -12 + 21x + -24x = -60 + 24x + -24x Combine like terms: 21x + -24x = -3x -12 + -3x = -60 + 24x + -24x Combine like terms: 24x + -24x = 0 -12 + -3x = -60 + 0 -12 + -3x = -60 Add '12' to each side of the equation. -12 + 12 + -3x = -60 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -60 + 12 -3x = -60 + 12 Combine like terms: -60 + 12 = -48 -3x = -48 Divide each side by '-3'. x = 16 Simplifying x = 16
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