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Simplifying 6(x + -2) = 40 + -1(7 + -1x) Reorder the terms: 6(-2 + x) = 40 + -1(7 + -1x) (-2 * 6 + x * 6) = 40 + -1(7 + -1x) (-12 + 6x) = 40 + -1(7 + -1x) -12 + 6x = 40 + (7 * -1 + -1x * -1) -12 + 6x = 40 + (-7 + 1x) Combine like terms: 40 + -7 = 33 -12 + 6x = 33 + 1x Solving -12 + 6x = 33 + 1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 6x + -1x = 33 + 1x + -1x Combine like terms: 6x + -1x = 5x -12 + 5x = 33 + 1x + -1x Combine like terms: 1x + -1x = 0 -12 + 5x = 33 + 0 -12 + 5x = 33 Add '12' to each side of the equation. -12 + 12 + 5x = 33 + 12 Combine like terms: -12 + 12 = 0 0 + 5x = 33 + 12 5x = 33 + 12 Combine like terms: 33 + 12 = 45 5x = 45 Divide each side by '5'. x = 9 Simplifying x = 9
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