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Simplifying 6(x + -7) + -4(x + 5) = 1 Reorder the terms: 6(-7 + x) + -4(x + 5) = 1 (-7 * 6 + x * 6) + -4(x + 5) = 1 (-42 + 6x) + -4(x + 5) = 1 Reorder the terms: -42 + 6x + -4(5 + x) = 1 -42 + 6x + (5 * -4 + x * -4) = 1 -42 + 6x + (-20 + -4x) = 1 Reorder the terms: -42 + -20 + 6x + -4x = 1 Combine like terms: -42 + -20 = -62 -62 + 6x + -4x = 1 Combine like terms: 6x + -4x = 2x -62 + 2x = 1 Solving -62 + 2x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '62' to each side of the equation. -62 + 62 + 2x = 1 + 62 Combine like terms: -62 + 62 = 0 0 + 2x = 1 + 62 2x = 1 + 62 Combine like terms: 1 + 62 = 63 2x = 63 Divide each side by '2'. x = 31.5 Simplifying x = 31.5
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