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Simplifying -10 + 2(3x + -4) = 12(x + 5) Reorder the terms: -10 + 2(-4 + 3x) = 12(x + 5) -10 + (-4 * 2 + 3x * 2) = 12(x + 5) -10 + (-8 + 6x) = 12(x + 5) Combine like terms: -10 + -8 = -18 -18 + 6x = 12(x + 5) Reorder the terms: -18 + 6x = 12(5 + x) -18 + 6x = (5 * 12 + x * 12) -18 + 6x = (60 + 12x) Solving -18 + 6x = 60 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 6x + -12x = 60 + 12x + -12x Combine like terms: 6x + -12x = -6x -18 + -6x = 60 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -6x = 60 + 0 -18 + -6x = 60 Add '18' to each side of the equation. -18 + 18 + -6x = 60 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 60 + 18 -6x = 60 + 18 Combine like terms: 60 + 18 = 78 -6x = 78 Divide each side by '-6'. x = -13 Simplifying x = -13
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