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Simplifying 6(x + -12) + -3 = 14x + -163 Reorder the terms: 6(-12 + x) + -3 = 14x + -163 (-12 * 6 + x * 6) + -3 = 14x + -163 (-72 + 6x) + -3 = 14x + -163 Reorder the terms: -72 + -3 + 6x = 14x + -163 Combine like terms: -72 + -3 = -75 -75 + 6x = 14x + -163 Reorder the terms: -75 + 6x = -163 + 14x Solving -75 + 6x = -163 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -75 + 6x + -14x = -163 + 14x + -14x Combine like terms: 6x + -14x = -8x -75 + -8x = -163 + 14x + -14x Combine like terms: 14x + -14x = 0 -75 + -8x = -163 + 0 -75 + -8x = -163 Add '75' to each side of the equation. -75 + 75 + -8x = -163 + 75 Combine like terms: -75 + 75 = 0 0 + -8x = -163 + 75 -8x = -163 + 75 Combine like terms: -163 + 75 = -88 -8x = -88 Divide each side by '-8'. x = 11 Simplifying x = 11
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