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Simplifying 6(x + -7) + -2(x + -4) = 13 Reorder the terms: 6(-7 + x) + -2(x + -4) = 13 (-7 * 6 + x * 6) + -2(x + -4) = 13 (-42 + 6x) + -2(x + -4) = 13 Reorder the terms: -42 + 6x + -2(-4 + x) = 13 -42 + 6x + (-4 * -2 + x * -2) = 13 -42 + 6x + (8 + -2x) = 13 Reorder the terms: -42 + 8 + 6x + -2x = 13 Combine like terms: -42 + 8 = -34 -34 + 6x + -2x = 13 Combine like terms: 6x + -2x = 4x -34 + 4x = 13 Solving -34 + 4x = 13 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '34' to each side of the equation. -34 + 34 + 4x = 13 + 34 Combine like terms: -34 + 34 = 0 0 + 4x = 13 + 34 4x = 13 + 34 Combine like terms: 13 + 34 = 47 4x = 47 Divide each side by '4'. x = 11.75 Simplifying x = 11.75
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