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Simplifying 7(x + -1) + 5x + 1 = 12 + -3(x + -4) Reorder the terms: 7(-1 + x) + 5x + 1 = 12 + -3(x + -4) (-1 * 7 + x * 7) + 5x + 1 = 12 + -3(x + -4) (-7 + 7x) + 5x + 1 = 12 + -3(x + -4) Reorder the terms: -7 + 1 + 7x + 5x = 12 + -3(x + -4) Combine like terms: -7 + 1 = -6 -6 + 7x + 5x = 12 + -3(x + -4) Combine like terms: 7x + 5x = 12x -6 + 12x = 12 + -3(x + -4) Reorder the terms: -6 + 12x = 12 + -3(-4 + x) -6 + 12x = 12 + (-4 * -3 + x * -3) -6 + 12x = 12 + (12 + -3x) Combine like terms: 12 + 12 = 24 -6 + 12x = 24 + -3x Solving -6 + 12x = 24 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -6 + 12x + 3x = 24 + -3x + 3x Combine like terms: 12x + 3x = 15x -6 + 15x = 24 + -3x + 3x Combine like terms: -3x + 3x = 0 -6 + 15x = 24 + 0 -6 + 15x = 24 Add '6' to each side of the equation. -6 + 6 + 15x = 24 + 6 Combine like terms: -6 + 6 = 0 0 + 15x = 24 + 6 15x = 24 + 6 Combine like terms: 24 + 6 = 30 15x = 30 Divide each side by '15'. x = 2 Simplifying x = 2
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