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Simplifying 2(x + 3) + -2(4x + 2) = 2(3x + -4) + -16 Reorder the terms: 2(3 + x) + -2(4x + 2) = 2(3x + -4) + -16 (3 * 2 + x * 2) + -2(4x + 2) = 2(3x + -4) + -16 (6 + 2x) + -2(4x + 2) = 2(3x + -4) + -16 Reorder the terms: 6 + 2x + -2(2 + 4x) = 2(3x + -4) + -16 6 + 2x + (2 * -2 + 4x * -2) = 2(3x + -4) + -16 6 + 2x + (-4 + -8x) = 2(3x + -4) + -16 Reorder the terms: 6 + -4 + 2x + -8x = 2(3x + -4) + -16 Combine like terms: 6 + -4 = 2 2 + 2x + -8x = 2(3x + -4) + -16 Combine like terms: 2x + -8x = -6x 2 + -6x = 2(3x + -4) + -16 Reorder the terms: 2 + -6x = 2(-4 + 3x) + -16 2 + -6x = (-4 * 2 + 3x * 2) + -16 2 + -6x = (-8 + 6x) + -16 Reorder the terms: 2 + -6x = -8 + -16 + 6x Combine like terms: -8 + -16 = -24 2 + -6x = -24 + 6x Solving 2 + -6x = -24 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + -6x + -6x = -24 + 6x + -6x Combine like terms: -6x + -6x = -12x 2 + -12x = -24 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -12x = -24 + 0 2 + -12x = -24 Add '-2' to each side of the equation. 2 + -2 + -12x = -24 + -2 Combine like terms: 2 + -2 = 0 0 + -12x = -24 + -2 -12x = -24 + -2 Combine like terms: -24 + -2 = -26 -12x = -26 Divide each side by '-12'. x = 2.166666667 Simplifying x = 2.166666667
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