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Simplifying 3x + -1x + 14 = 6(x + -12) Reorder the terms: 14 + 3x + -1x = 6(x + -12) Combine like terms: 3x + -1x = 2x 14 + 2x = 6(x + -12) Reorder the terms: 14 + 2x = 6(-12 + x) 14 + 2x = (-12 * 6 + x * 6) 14 + 2x = (-72 + 6x) Solving 14 + 2x = -72 + 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. 14 + 2x + -6x = -72 + 6x + -6x Combine like terms: 2x + -6x = -4x 14 + -4x = -72 + 6x + -6x Combine like terms: 6x + -6x = 0 14 + -4x = -72 + 0 14 + -4x = -72 Add '-14' to each side of the equation. 14 + -14 + -4x = -72 + -14 Combine like terms: 14 + -14 = 0 0 + -4x = -72 + -14 -4x = -72 + -14 Combine like terms: -72 + -14 = -86 -4x = -86 Divide each side by '-4'. x = 21.5 Simplifying x = 21.5
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