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Simplifying 6(3 + -1x) + 12 = 5x + -2(4x + 8) (3 * 6 + -1x * 6) + 12 = 5x + -2(4x + 8) (18 + -6x) + 12 = 5x + -2(4x + 8) Reorder the terms: 18 + 12 + -6x = 5x + -2(4x + 8) Combine like terms: 18 + 12 = 30 30 + -6x = 5x + -2(4x + 8) Reorder the terms: 30 + -6x = 5x + -2(8 + 4x) 30 + -6x = 5x + (8 * -2 + 4x * -2) 30 + -6x = 5x + (-16 + -8x) Reorder the terms: 30 + -6x = -16 + 5x + -8x Combine like terms: 5x + -8x = -3x 30 + -6x = -16 + -3x Solving 30 + -6x = -16 + -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. 30 + -6x + 3x = -16 + -3x + 3x Combine like terms: -6x + 3x = -3x 30 + -3x = -16 + -3x + 3x Combine like terms: -3x + 3x = 0 30 + -3x = -16 + 0 30 + -3x = -16 Add '-30' to each side of the equation. 30 + -30 + -3x = -16 + -30 Combine like terms: 30 + -30 = 0 0 + -3x = -16 + -30 -3x = -16 + -30 Combine like terms: -16 + -30 = -46 -3x = -46 Divide each side by '-3'. x = 15.33333333 Simplifying x = 15.33333333
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