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Simplifying 2x(x + -7) = 2x(x + -3) + -8 Reorder the terms: 2x(-7 + x) = 2x(x + -3) + -8 (-7 * 2x + x * 2x) = 2x(x + -3) + -8 (-14x + 2x2) = 2x(x + -3) + -8 Reorder the terms: -14x + 2x2 = 2x(-3 + x) + -8 -14x + 2x2 = (-3 * 2x + x * 2x) + -8 -14x + 2x2 = (-6x + 2x2) + -8 Reorder the terms: -14x + 2x2 = -8 + -6x + 2x2 Add '-2x2' to each side of the equation. -14x + 2x2 + -2x2 = -8 + -6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -14x + 0 = -8 + -6x + 2x2 + -2x2 -14x = -8 + -6x + 2x2 + -2x2 Combine like terms: 2x2 + -2x2 = 0 -14x = -8 + -6x + 0 -14x = -8 + -6x Solving -14x = -8 + -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. -14x + 6x = -8 + -6x + 6x Combine like terms: -14x + 6x = -8x -8x = -8 + -6x + 6x Combine like terms: -6x + 6x = 0 -8x = -8 + 0 -8x = -8 Divide each side by '-8'. x = 1 Simplifying x = 1
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