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Simplifying 12x + 2(x + -3) = 5(2x + -1) + 7 Reorder the terms: 12x + 2(-3 + x) = 5(2x + -1) + 7 12x + (-3 * 2 + x * 2) = 5(2x + -1) + 7 12x + (-6 + 2x) = 5(2x + -1) + 7 Reorder the terms: -6 + 12x + 2x = 5(2x + -1) + 7 Combine like terms: 12x + 2x = 14x -6 + 14x = 5(2x + -1) + 7 Reorder the terms: -6 + 14x = 5(-1 + 2x) + 7 -6 + 14x = (-1 * 5 + 2x * 5) + 7 -6 + 14x = (-5 + 10x) + 7 Reorder the terms: -6 + 14x = -5 + 7 + 10x Combine like terms: -5 + 7 = 2 -6 + 14x = 2 + 10x Solving -6 + 14x = 2 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -6 + 14x + -10x = 2 + 10x + -10x Combine like terms: 14x + -10x = 4x -6 + 4x = 2 + 10x + -10x Combine like terms: 10x + -10x = 0 -6 + 4x = 2 + 0 -6 + 4x = 2 Add '6' to each side of the equation. -6 + 6 + 4x = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 2 + 6 4x = 2 + 6 Combine like terms: 2 + 6 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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