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Simplifying 3(x + -4) = 7x + 2 + -2(-4x + -1) Reorder the terms: 3(-4 + x) = 7x + 2 + -2(-4x + -1) (-4 * 3 + x * 3) = 7x + 2 + -2(-4x + -1) (-12 + 3x) = 7x + 2 + -2(-4x + -1) Reorder the terms: -12 + 3x = 7x + 2 + -2(-1 + -4x) -12 + 3x = 7x + 2 + (-1 * -2 + -4x * -2) -12 + 3x = 7x + 2 + (2 + 8x) Reorder the terms: -12 + 3x = 2 + 2 + 7x + 8x Combine like terms: 2 + 2 = 4 -12 + 3x = 4 + 7x + 8x Combine like terms: 7x + 8x = 15x -12 + 3x = 4 + 15x Solving -12 + 3x = 4 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -12 + 3x + -15x = 4 + 15x + -15x Combine like terms: 3x + -15x = -12x -12 + -12x = 4 + 15x + -15x Combine like terms: 15x + -15x = 0 -12 + -12x = 4 + 0 -12 + -12x = 4 Add '12' to each side of the equation. -12 + 12 + -12x = 4 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = 4 + 12 -12x = 4 + 12 Combine like terms: 4 + 12 = 16 -12x = 16 Divide each side by '-12'. x = -1.333333333 Simplifying x = -1.333333333
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