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Simplifying 6(x + -7) = 2x + 5 Reorder the terms: 6(-7 + x) = 2x + 5 (-7 * 6 + x * 6) = 2x + 5 (-42 + 6x) = 2x + 5 Reorder the terms: -42 + 6x = 5 + 2x Solving -42 + 6x = 5 + 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. -42 + 6x + -2x = 5 + 2x + -2x Combine like terms: 6x + -2x = 4x -42 + 4x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 -42 + 4x = 5 + 0 -42 + 4x = 5 Add '42' to each side of the equation. -42 + 42 + 4x = 5 + 42 Combine like terms: -42 + 42 = 0 0 + 4x = 5 + 42 4x = 5 + 42 Combine like terms: 5 + 42 = 47 4x = 47 Divide each side by '4'. x = 11.75 Simplifying x = 11.75
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