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Simplifying 3[-7x + -3 + 4(x + 1)] = 3x + 7 Reorder the terms: 3[-7x + -3 + 4(1 + x)] = 3x + 7 3[-7x + -3 + (1 * 4 + x * 4)] = 3x + 7 3[-7x + -3 + (4 + 4x)] = 3x + 7 Reorder the terms: 3[-3 + 4 + -7x + 4x] = 3x + 7 Combine like terms: -3 + 4 = 1 3[1 + -7x + 4x] = 3x + 7 Combine like terms: -7x + 4x = -3x 3[1 + -3x] = 3x + 7 [1 * 3 + -3x * 3] = 3x + 7 [3 + -9x] = 3x + 7 Reorder the terms: 3 + -9x = 7 + 3x Solving 3 + -9x = 7 + 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. 3 + -9x + -3x = 7 + 3x + -3x Combine like terms: -9x + -3x = -12x 3 + -12x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -12x = 7 + 0 3 + -12x = 7 Add '-3' to each side of the equation. 3 + -3 + -12x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + -12x = 7 + -3 -12x = 7 + -3 Combine like terms: 7 + -3 = 4 -12x = 4 Divide each side by '-12'. x = -0.3333333333 Simplifying x = -0.3333333333
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