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Simplifying 4x + -3(3x + 2) = 7(x + 1) + -1 Reorder the terms: 4x + -3(2 + 3x) = 7(x + 1) + -1 4x + (2 * -3 + 3x * -3) = 7(x + 1) + -1 4x + (-6 + -9x) = 7(x + 1) + -1 Reorder the terms: -6 + 4x + -9x = 7(x + 1) + -1 Combine like terms: 4x + -9x = -5x -6 + -5x = 7(x + 1) + -1 Reorder the terms: -6 + -5x = 7(1 + x) + -1 -6 + -5x = (1 * 7 + x * 7) + -1 -6 + -5x = (7 + 7x) + -1 Reorder the terms: -6 + -5x = 7 + -1 + 7x Combine like terms: 7 + -1 = 6 -6 + -5x = 6 + 7x Solving -6 + -5x = 6 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + -5x + -7x = 6 + 7x + -7x Combine like terms: -5x + -7x = -12x -6 + -12x = 6 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + -12x = 6 + 0 -6 + -12x = 6 Add '6' to each side of the equation. -6 + 6 + -12x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = 6 + 6 -12x = 6 + 6 Combine like terms: 6 + 6 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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