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Simplifying 2x + -3(2x + -8) = 2(3x + -7) + 6x Reorder the terms: 2x + -3(-8 + 2x) = 2(3x + -7) + 6x 2x + (-8 * -3 + 2x * -3) = 2(3x + -7) + 6x 2x + (24 + -6x) = 2(3x + -7) + 6x Reorder the terms: 24 + 2x + -6x = 2(3x + -7) + 6x Combine like terms: 2x + -6x = -4x 24 + -4x = 2(3x + -7) + 6x Reorder the terms: 24 + -4x = 2(-7 + 3x) + 6x 24 + -4x = (-7 * 2 + 3x * 2) + 6x 24 + -4x = (-14 + 6x) + 6x Combine like terms: 6x + 6x = 12x 24 + -4x = -14 + 12x Solving 24 + -4x = -14 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 24 + -4x + -12x = -14 + 12x + -12x Combine like terms: -4x + -12x = -16x 24 + -16x = -14 + 12x + -12x Combine like terms: 12x + -12x = 0 24 + -16x = -14 + 0 24 + -16x = -14 Add '-24' to each side of the equation. 24 + -24 + -16x = -14 + -24 Combine like terms: 24 + -24 = 0 0 + -16x = -14 + -24 -16x = -14 + -24 Combine like terms: -14 + -24 = -38 -16x = -38 Divide each side by '-16'. x = 2.375 Simplifying x = 2.375
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