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Simplifying 2(x + -8) + 6(2x + 13) = 3x + -12 Reorder the terms: 2(-8 + x) + 6(2x + 13) = 3x + -12 (-8 * 2 + x * 2) + 6(2x + 13) = 3x + -12 (-16 + 2x) + 6(2x + 13) = 3x + -12 Reorder the terms: -16 + 2x + 6(13 + 2x) = 3x + -12 -16 + 2x + (13 * 6 + 2x * 6) = 3x + -12 -16 + 2x + (78 + 12x) = 3x + -12 Reorder the terms: -16 + 78 + 2x + 12x = 3x + -12 Combine like terms: -16 + 78 = 62 62 + 2x + 12x = 3x + -12 Combine like terms: 2x + 12x = 14x 62 + 14x = 3x + -12 Reorder the terms: 62 + 14x = -12 + 3x Solving 62 + 14x = -12 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 62 + 14x + -3x = -12 + 3x + -3x Combine like terms: 14x + -3x = 11x 62 + 11x = -12 + 3x + -3x Combine like terms: 3x + -3x = 0 62 + 11x = -12 + 0 62 + 11x = -12 Add '-62' to each side of the equation. 62 + -62 + 11x = -12 + -62 Combine like terms: 62 + -62 = 0 0 + 11x = -12 + -62 11x = -12 + -62 Combine like terms: -12 + -62 = -74 11x = -74 Divide each side by '11'. x = -6.727272727 Simplifying x = -6.727272727
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