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Simplifying 7 + 3(x + -7) = 1 + -5(x + -6) Reorder the terms: 7 + 3(-7 + x) = 1 + -5(x + -6) 7 + (-7 * 3 + x * 3) = 1 + -5(x + -6) 7 + (-21 + 3x) = 1 + -5(x + -6) Combine like terms: 7 + -21 = -14 -14 + 3x = 1 + -5(x + -6) Reorder the terms: -14 + 3x = 1 + -5(-6 + x) -14 + 3x = 1 + (-6 * -5 + x * -5) -14 + 3x = 1 + (30 + -5x) Combine like terms: 1 + 30 = 31 -14 + 3x = 31 + -5x Solving -14 + 3x = 31 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -14 + 3x + 5x = 31 + -5x + 5x Combine like terms: 3x + 5x = 8x -14 + 8x = 31 + -5x + 5x Combine like terms: -5x + 5x = 0 -14 + 8x = 31 + 0 -14 + 8x = 31 Add '14' to each side of the equation. -14 + 14 + 8x = 31 + 14 Combine like terms: -14 + 14 = 0 0 + 8x = 31 + 14 8x = 31 + 14 Combine like terms: 31 + 14 = 45 8x = 45 Divide each side by '8'. x = 5.625 Simplifying x = 5.625
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