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Simplifying 2x + 3(4x + -2) = 2(x + -4) + -6(1 + -3x) + -1x Reorder the terms: 2x + 3(-2 + 4x) = 2(x + -4) + -6(1 + -3x) + -1x 2x + (-2 * 3 + 4x * 3) = 2(x + -4) + -6(1 + -3x) + -1x 2x + (-6 + 12x) = 2(x + -4) + -6(1 + -3x) + -1x Reorder the terms: -6 + 2x + 12x = 2(x + -4) + -6(1 + -3x) + -1x Combine like terms: 2x + 12x = 14x -6 + 14x = 2(x + -4) + -6(1 + -3x) + -1x Reorder the terms: -6 + 14x = 2(-4 + x) + -6(1 + -3x) + -1x -6 + 14x = (-4 * 2 + x * 2) + -6(1 + -3x) + -1x -6 + 14x = (-8 + 2x) + -6(1 + -3x) + -1x -6 + 14x = -8 + 2x + (1 * -6 + -3x * -6) + -1x -6 + 14x = -8 + 2x + (-6 + 18x) + -1x Reorder the terms: -6 + 14x = -8 + -6 + 2x + 18x + -1x Combine like terms: -8 + -6 = -14 -6 + 14x = -14 + 2x + 18x + -1x Combine like terms: 2x + 18x = 20x -6 + 14x = -14 + 20x + -1x Combine like terms: 20x + -1x = 19x -6 + 14x = -14 + 19x Solving -6 + 14x = -14 + 19x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-19x' to each side of the equation. -6 + 14x + -19x = -14 + 19x + -19x Combine like terms: 14x + -19x = -5x -6 + -5x = -14 + 19x + -19x Combine like terms: 19x + -19x = 0 -6 + -5x = -14 + 0 -6 + -5x = -14 Add '6' to each side of the equation. -6 + 6 + -5x = -14 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = -14 + 6 -5x = -14 + 6 Combine like terms: -14 + 6 = -8 -5x = -8 Divide each side by '-5'. x = 1.6 Simplifying x = 1.6
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