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Simplifying 4[-2x + 3 + -6(x + 1)] = 3x + 4 Reorder the terms: 4[-2x + 3 + -6(1 + x)] = 3x + 4 4[-2x + 3 + (1 * -6 + x * -6)] = 3x + 4 4[-2x + 3 + (-6 + -6x)] = 3x + 4 Reorder the terms: 4[3 + -6 + -2x + -6x] = 3x + 4 Combine like terms: 3 + -6 = -3 4[-3 + -2x + -6x] = 3x + 4 Combine like terms: -2x + -6x = -8x 4[-3 + -8x] = 3x + 4 [-3 * 4 + -8x * 4] = 3x + 4 [-12 + -32x] = 3x + 4 Reorder the terms: -12 + -32x = 4 + 3x Solving -12 + -32x = 4 + 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. -12 + -32x + -3x = 4 + 3x + -3x Combine like terms: -32x + -3x = -35x -12 + -35x = 4 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + -35x = 4 + 0 -12 + -35x = 4 Add '12' to each side of the equation. -12 + 12 + -35x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -35x = 4 + 12 -35x = 4 + 12 Combine like terms: 4 + 12 = 16 -35x = 16 Divide each side by '-35'. x = -0.4571428571 Simplifying x = -0.4571428571
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