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Simplifying 2 + -4(3x + -12) + 3(9x + -5) = 2(7x + -1) Reorder the terms: 2 + -4(-12 + 3x) + 3(9x + -5) = 2(7x + -1) 2 + (-12 * -4 + 3x * -4) + 3(9x + -5) = 2(7x + -1) 2 + (48 + -12x) + 3(9x + -5) = 2(7x + -1) Reorder the terms: 2 + 48 + -12x + 3(-5 + 9x) = 2(7x + -1) 2 + 48 + -12x + (-5 * 3 + 9x * 3) = 2(7x + -1) 2 + 48 + -12x + (-15 + 27x) = 2(7x + -1) Reorder the terms: 2 + 48 + -15 + -12x + 27x = 2(7x + -1) Combine like terms: 2 + 48 = 50 50 + -15 + -12x + 27x = 2(7x + -1) Combine like terms: 50 + -15 = 35 35 + -12x + 27x = 2(7x + -1) Combine like terms: -12x + 27x = 15x 35 + 15x = 2(7x + -1) Reorder the terms: 35 + 15x = 2(-1 + 7x) 35 + 15x = (-1 * 2 + 7x * 2) 35 + 15x = (-2 + 14x) Solving 35 + 15x = -2 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 35 + 15x + -14x = -2 + 14x + -14x Combine like terms: 15x + -14x = 1x 35 + 1x = -2 + 14x + -14x Combine like terms: 14x + -14x = 0 35 + 1x = -2 + 0 35 + 1x = -2 Add '-35' to each side of the equation. 35 + -35 + 1x = -2 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = -2 + -35 1x = -2 + -35 Combine like terms: -2 + -35 = -37 1x = -37 Divide each side by '1'. x = -37 Simplifying x = -37
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