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Simplifying (12x + -5) + (-15) = 5(4x + 7) Reorder the terms: (-5 + 12x) + (-15) = 5(4x + 7) Remove parenthesis around (-5 + 12x) -5 + 12x + (-15) = 5(4x + 7) -5 + 12x + -15 = 5(4x + 7) Reorder the terms: -5 + -15 + 12x = 5(4x + 7) Combine like terms: -5 + -15 = -20 -20 + 12x = 5(4x + 7) Reorder the terms: -20 + 12x = 5(7 + 4x) -20 + 12x = (7 * 5 + 4x * 5) -20 + 12x = (35 + 20x) Solving -20 + 12x = 35 + 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. -20 + 12x + -20x = 35 + 20x + -20x Combine like terms: 12x + -20x = -8x -20 + -8x = 35 + 20x + -20x Combine like terms: 20x + -20x = 0 -20 + -8x = 35 + 0 -20 + -8x = 35 Add '20' to each side of the equation. -20 + 20 + -8x = 35 + 20 Combine like terms: -20 + 20 = 0 0 + -8x = 35 + 20 -8x = 35 + 20 Combine like terms: 35 + 20 = 55 -8x = 55 Divide each side by '-8'. x = -6.875 Simplifying x = -6.875
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