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Simplifying 6(x + 2) + -14x = 6(x + -2) + -18 Reorder the terms: 6(2 + x) + -14x = 6(x + -2) + -18 (2 * 6 + x * 6) + -14x = 6(x + -2) + -18 (12 + 6x) + -14x = 6(x + -2) + -18 Combine like terms: 6x + -14x = -8x 12 + -8x = 6(x + -2) + -18 Reorder the terms: 12 + -8x = 6(-2 + x) + -18 12 + -8x = (-2 * 6 + x * 6) + -18 12 + -8x = (-12 + 6x) + -18 Reorder the terms: 12 + -8x = -12 + -18 + 6x Combine like terms: -12 + -18 = -30 12 + -8x = -30 + 6x Solving 12 + -8x = -30 + 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. 12 + -8x + -6x = -30 + 6x + -6x Combine like terms: -8x + -6x = -14x 12 + -14x = -30 + 6x + -6x Combine like terms: 6x + -6x = 0 12 + -14x = -30 + 0 12 + -14x = -30 Add '-12' to each side of the equation. 12 + -12 + -14x = -30 + -12 Combine like terms: 12 + -12 = 0 0 + -14x = -30 + -12 -14x = -30 + -12 Combine like terms: -30 + -12 = -42 -14x = -42 Divide each side by '-14'. x = 3 Simplifying x = 3
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