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Simplifying 3(4x + -12) = 5(4x + 14) Reorder the terms: 3(-12 + 4x) = 5(4x + 14) (-12 * 3 + 4x * 3) = 5(4x + 14) (-36 + 12x) = 5(4x + 14) Reorder the terms: -36 + 12x = 5(14 + 4x) -36 + 12x = (14 * 5 + 4x * 5) -36 + 12x = (70 + 20x) Solving -36 + 12x = 70 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -36 + 12x + -20x = 70 + 20x + -20x Combine like terms: 12x + -20x = -8x -36 + -8x = 70 + 20x + -20x Combine like terms: 20x + -20x = 0 -36 + -8x = 70 + 0 -36 + -8x = 70 Add '36' to each side of the equation. -36 + 36 + -8x = 70 + 36 Combine like terms: -36 + 36 = 0 0 + -8x = 70 + 36 -8x = 70 + 36 Combine like terms: 70 + 36 = 106 -8x = 106 Divide each side by '-8'. x = -13.25 Simplifying x = -13.25
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