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Simplifying 3x + -1(2x + 6) = 4(x + -4) + x Reorder the terms: 3x + -1(6 + 2x) = 4(x + -4) + x 3x + (6 * -1 + 2x * -1) = 4(x + -4) + x 3x + (-6 + -2x) = 4(x + -4) + x Reorder the terms: -6 + 3x + -2x = 4(x + -4) + x Combine like terms: 3x + -2x = 1x -6 + 1x = 4(x + -4) + x Reorder the terms: -6 + 1x = 4(-4 + x) + x -6 + 1x = (-4 * 4 + x * 4) + x -6 + 1x = (-16 + 4x) + x Combine like terms: 4x + x = 5x -6 + 1x = -16 + 5x Solving -6 + 1x = -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. -6 + 1x + -5x = -16 + 5x + -5x Combine like terms: 1x + -5x = -4x -6 + -4x = -16 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4x = -16 + 0 -6 + -4x = -16 Add '6' to each side of the equation. -6 + 6 + -4x = -16 + 6 Combine like terms: -6 + 6 = 0 0 + -4x = -16 + 6 -4x = -16 + 6 Combine like terms: -16 + 6 = -10 -4x = -10 Divide each side by '-4'. x = 2.5 Simplifying x = 2.5
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