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Simplifying 7(x + -2) + -3(2x + -7) = 6x + 22 Reorder the terms: 7(-2 + x) + -3(2x + -7) = 6x + 22 (-2 * 7 + x * 7) + -3(2x + -7) = 6x + 22 (-14 + 7x) + -3(2x + -7) = 6x + 22 Reorder the terms: -14 + 7x + -3(-7 + 2x) = 6x + 22 -14 + 7x + (-7 * -3 + 2x * -3) = 6x + 22 -14 + 7x + (21 + -6x) = 6x + 22 Reorder the terms: -14 + 21 + 7x + -6x = 6x + 22 Combine like terms: -14 + 21 = 7 7 + 7x + -6x = 6x + 22 Combine like terms: 7x + -6x = 1x 7 + 1x = 6x + 22 Reorder the terms: 7 + 1x = 22 + 6x Solving 7 + 1x = 22 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 7 + 1x + -6x = 22 + 6x + -6x Combine like terms: 1x + -6x = -5x 7 + -5x = 22 + 6x + -6x Combine like terms: 6x + -6x = 0 7 + -5x = 22 + 0 7 + -5x = 22 Add '-7' to each side of the equation. 7 + -7 + -5x = 22 + -7 Combine like terms: 7 + -7 = 0 0 + -5x = 22 + -7 -5x = 22 + -7 Combine like terms: 22 + -7 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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