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Simplifying 3x + -5(x + 6) = 2x + -14 Reorder the terms: 3x + -5(6 + x) = 2x + -14 3x + (6 * -5 + x * -5) = 2x + -14 3x + (-30 + -5x) = 2x + -14 Reorder the terms: -30 + 3x + -5x = 2x + -14 Combine like terms: 3x + -5x = -2x -30 + -2x = 2x + -14 Reorder the terms: -30 + -2x = -14 + 2x Solving -30 + -2x = -14 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -30 + -2x + -2x = -14 + 2x + -2x Combine like terms: -2x + -2x = -4x -30 + -4x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -30 + -4x = -14 + 0 -30 + -4x = -14 Add '30' to each side of the equation. -30 + 30 + -4x = -14 + 30 Combine like terms: -30 + 30 = 0 0 + -4x = -14 + 30 -4x = -14 + 30 Combine like terms: -14 + 30 = 16 -4x = 16 Divide each side by '-4'. x = -4 Simplifying x = -4
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