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Simplifying 2 + -8x + 1(x + -4) = 2(x + -7) Reorder the terms: 2 + -8x + 1(-4 + x) = 2(x + -7) 2 + -8x + (-4 * 1 + x * 1) = 2(x + -7) 2 + -8x + (-4 + 1x) = 2(x + -7) Reorder the terms: 2 + -4 + -8x + 1x = 2(x + -7) Combine like terms: 2 + -4 = -2 -2 + -8x + 1x = 2(x + -7) Combine like terms: -8x + 1x = -7x -2 + -7x = 2(x + -7) Reorder the terms: -2 + -7x = 2(-7 + x) -2 + -7x = (-7 * 2 + x * 2) -2 + -7x = (-14 + 2x) Solving -2 + -7x = -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. -2 + -7x + -2x = -14 + 2x + -2x Combine like terms: -7x + -2x = -9x -2 + -9x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 -2 + -9x = -14 + 0 -2 + -9x = -14 Add '2' to each side of the equation. -2 + 2 + -9x = -14 + 2 Combine like terms: -2 + 2 = 0 0 + -9x = -14 + 2 -9x = -14 + 2 Combine like terms: -14 + 2 = -12 -9x = -12 Divide each side by '-9'. x = 1.333333333 Simplifying x = 1.333333333
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