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Simplifying 4 + -2(3 + -1x) + 5x + -7 = 12x + -19 4 + (3 * -2 + -1x * -2) + 5x + -7 = 12x + -19 4 + (-6 + 2x) + 5x + -7 = 12x + -19 Reorder the terms: 4 + -6 + -7 + 2x + 5x = 12x + -19 Combine like terms: 4 + -6 = -2 -2 + -7 + 2x + 5x = 12x + -19 Combine like terms: -2 + -7 = -9 -9 + 2x + 5x = 12x + -19 Combine like terms: 2x + 5x = 7x -9 + 7x = 12x + -19 Reorder the terms: -9 + 7x = -19 + 12x Solving -9 + 7x = -19 + 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. -9 + 7x + -12x = -19 + 12x + -12x Combine like terms: 7x + -12x = -5x -9 + -5x = -19 + 12x + -12x Combine like terms: 12x + -12x = 0 -9 + -5x = -19 + 0 -9 + -5x = -19 Add '9' to each side of the equation. -9 + 9 + -5x = -19 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = -19 + 9 -5x = -19 + 9 Combine like terms: -19 + 9 = -10 -5x = -10 Divide each side by '-5'. x = 2 Simplifying x = 2
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