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Simplifying 3x + -1(-2 + 6) = 4(x + -4) + x Combine like terms: -2 + 6 = 4 3x + -1(4) = 4(x + -4) + x Multiply -1 * 4 3x + -4 = 4(x + -4) + x Reorder the terms: -4 + 3x = 4(x + -4) + x Reorder the terms: -4 + 3x = 4(-4 + x) + x -4 + 3x = (-4 * 4 + x * 4) + x -4 + 3x = (-16 + 4x) + x Combine like terms: 4x + x = 5x -4 + 3x = -16 + 5x Solving -4 + 3x = -16 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -4 + 3x + -5x = -16 + 5x + -5x Combine like terms: 3x + -5x = -2x -4 + -2x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + -2x = -16 + 0 -4 + -2x = -16 Add '4' to each side of the equation. -4 + 4 + -2x = -16 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -16 + 4 -2x = -16 + 4 Combine like terms: -16 + 4 = -12 -2x = -12 Divide each side by '-2'. x = 6 Simplifying x = 6
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