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Simplifying -7x + -12(x + 6) = 6(3x + 5) Reorder the terms: -7x + -12(6 + x) = 6(3x + 5) -7x + (6 * -12 + x * -12) = 6(3x + 5) -7x + (-72 + -12x) = 6(3x + 5) Reorder the terms: -72 + -7x + -12x = 6(3x + 5) Combine like terms: -7x + -12x = -19x -72 + -19x = 6(3x + 5) Reorder the terms: -72 + -19x = 6(5 + 3x) -72 + -19x = (5 * 6 + 3x * 6) -72 + -19x = (30 + 18x) Solving -72 + -19x = 30 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. -72 + -19x + -18x = 30 + 18x + -18x Combine like terms: -19x + -18x = -37x -72 + -37x = 30 + 18x + -18x Combine like terms: 18x + -18x = 0 -72 + -37x = 30 + 0 -72 + -37x = 30 Add '72' to each side of the equation. -72 + 72 + -37x = 30 + 72 Combine like terms: -72 + 72 = 0 0 + -37x = 30 + 72 -37x = 30 + 72 Combine like terms: 30 + 72 = 102 -37x = 102 Divide each side by '-37'. x = -2.756756757 Simplifying x = -2.756756757
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