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Simplifying 6(2x + -7) + -4 = 6(x + -4) + 14 Reorder the terms: 6(-7 + 2x) + -4 = 6(x + -4) + 14 (-7 * 6 + 2x * 6) + -4 = 6(x + -4) + 14 (-42 + 12x) + -4 = 6(x + -4) + 14 Reorder the terms: -42 + -4 + 12x = 6(x + -4) + 14 Combine like terms: -42 + -4 = -46 -46 + 12x = 6(x + -4) + 14 Reorder the terms: -46 + 12x = 6(-4 + x) + 14 -46 + 12x = (-4 * 6 + x * 6) + 14 -46 + 12x = (-24 + 6x) + 14 Reorder the terms: -46 + 12x = -24 + 14 + 6x Combine like terms: -24 + 14 = -10 -46 + 12x = -10 + 6x Solving -46 + 12x = -10 + 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. -46 + 12x + -6x = -10 + 6x + -6x Combine like terms: 12x + -6x = 6x -46 + 6x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -46 + 6x = -10 + 0 -46 + 6x = -10 Add '46' to each side of the equation. -46 + 46 + 6x = -10 + 46 Combine like terms: -46 + 46 = 0 0 + 6x = -10 + 46 6x = -10 + 46 Combine like terms: -10 + 46 = 36 6x = 36 Divide each side by '6'. x = 6 Simplifying x = 6
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