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Simplifying 6 + 5x = 7(2x + -4) + -2 Reorder the terms: 6 + 5x = 7(-4 + 2x) + -2 6 + 5x = (-4 * 7 + 2x * 7) + -2 6 + 5x = (-28 + 14x) + -2 Reorder the terms: 6 + 5x = -28 + -2 + 14x Combine like terms: -28 + -2 = -30 6 + 5x = -30 + 14x Solving 6 + 5x = -30 + 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. 6 + 5x + -14x = -30 + 14x + -14x Combine like terms: 5x + -14x = -9x 6 + -9x = -30 + 14x + -14x Combine like terms: 14x + -14x = 0 6 + -9x = -30 + 0 6 + -9x = -30 Add '-6' to each side of the equation. 6 + -6 + -9x = -30 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -30 + -6 -9x = -30 + -6 Combine like terms: -30 + -6 = -36 -9x = -36 Divide each side by '-9'. x = 4 Simplifying x = 4
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