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