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Simplifying 12x + -2(x + 1) = 3(2x + -7) Reorder the terms: 12x + -2(1 + x) = 3(2x + -7) 12x + (1 * -2 + x * -2) = 3(2x + -7) 12x + (-2 + -2x) = 3(2x + -7) Reorder the terms: -2 + 12x + -2x = 3(2x + -7) Combine like terms: 12x + -2x = 10x -2 + 10x = 3(2x + -7) Reorder the terms: -2 + 10x = 3(-7 + 2x) -2 + 10x = (-7 * 3 + 2x * 3) -2 + 10x = (-21 + 6x) Solving -2 + 10x = -21 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 10x + -6x = -21 + 6x + -6x Combine like terms: 10x + -6x = 4x -2 + 4x = -21 + 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 4x = -21 + 0 -2 + 4x = -21 Add '2' to each side of the equation. -2 + 2 + 4x = -21 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = -21 + 2 4x = -21 + 2 Combine like terms: -21 + 2 = -19 4x = -19 Divide each side by '4'. x = -4.75 Simplifying x = -4.75
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