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Simplifying 6 + -7(2x + 4) = x + -2(5x + -3) Reorder the terms: 6 + -7(4 + 2x) = x + -2(5x + -3) 6 + (4 * -7 + 2x * -7) = x + -2(5x + -3) 6 + (-28 + -14x) = x + -2(5x + -3) Combine like terms: 6 + -28 = -22 -22 + -14x = x + -2(5x + -3) Reorder the terms: -22 + -14x = x + -2(-3 + 5x) -22 + -14x = x + (-3 * -2 + 5x * -2) -22 + -14x = x + (6 + -10x) Reorder the terms: -22 + -14x = 6 + x + -10x Combine like terms: x + -10x = -9x -22 + -14x = 6 + -9x Solving -22 + -14x = 6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -22 + -14x + 9x = 6 + -9x + 9x Combine like terms: -14x + 9x = -5x -22 + -5x = 6 + -9x + 9x Combine like terms: -9x + 9x = 0 -22 + -5x = 6 + 0 -22 + -5x = 6 Add '22' to each side of the equation. -22 + 22 + -5x = 6 + 22 Combine like terms: -22 + 22 = 0 0 + -5x = 6 + 22 -5x = 6 + 22 Combine like terms: 6 + 22 = 28 -5x = 28 Divide each side by '-5'. x = -5.6 Simplifying x = -5.6
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