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Simplifying 6(x + -7) = 4(11 + -2x) Reorder the terms: 6(-7 + x) = 4(11 + -2x) (-7 * 6 + x * 6) = 4(11 + -2x) (-42 + 6x) = 4(11 + -2x) -42 + 6x = (11 * 4 + -2x * 4) -42 + 6x = (44 + -8x) Solving -42 + 6x = 44 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -42 + 6x + 8x = 44 + -8x + 8x Combine like terms: 6x + 8x = 14x -42 + 14x = 44 + -8x + 8x Combine like terms: -8x + 8x = 0 -42 + 14x = 44 + 0 -42 + 14x = 44 Add '42' to each side of the equation. -42 + 42 + 14x = 44 + 42 Combine like terms: -42 + 42 = 0 0 + 14x = 44 + 42 14x = 44 + 42 Combine like terms: 44 + 42 = 86 14x = 86 Divide each side by '14'. x = 6.142857143 Simplifying x = 6.142857143
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