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Simplifying 1 + 4(x + -7) = 1 + -4(x + -9) Reorder the terms: 1 + 4(-7 + x) = 1 + -4(x + -9) 1 + (-7 * 4 + x * 4) = 1 + -4(x + -9) 1 + (-28 + 4x) = 1 + -4(x + -9) Combine like terms: 1 + -28 = -27 -27 + 4x = 1 + -4(x + -9) Reorder the terms: -27 + 4x = 1 + -4(-9 + x) -27 + 4x = 1 + (-9 * -4 + x * -4) -27 + 4x = 1 + (36 + -4x) Combine like terms: 1 + 36 = 37 -27 + 4x = 37 + -4x Solving -27 + 4x = 37 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -27 + 4x + 4x = 37 + -4x + 4x Combine like terms: 4x + 4x = 8x -27 + 8x = 37 + -4x + 4x Combine like terms: -4x + 4x = 0 -27 + 8x = 37 + 0 -27 + 8x = 37 Add '27' to each side of the equation. -27 + 27 + 8x = 37 + 27 Combine like terms: -27 + 27 = 0 0 + 8x = 37 + 27 8x = 37 + 27 Combine like terms: 37 + 27 = 64 8x = 64 Divide each side by '8'. x = 8 Simplifying x = 8
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