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Simplifying 7(x + -1) + 2(x + -2) = 14x + -56 Reorder the terms: 7(-1 + x) + 2(x + -2) = 14x + -56 (-1 * 7 + x * 7) + 2(x + -2) = 14x + -56 (-7 + 7x) + 2(x + -2) = 14x + -56 Reorder the terms: -7 + 7x + 2(-2 + x) = 14x + -56 -7 + 7x + (-2 * 2 + x * 2) = 14x + -56 -7 + 7x + (-4 + 2x) = 14x + -56 Reorder the terms: -7 + -4 + 7x + 2x = 14x + -56 Combine like terms: -7 + -4 = -11 -11 + 7x + 2x = 14x + -56 Combine like terms: 7x + 2x = 9x -11 + 9x = 14x + -56 Reorder the terms: -11 + 9x = -56 + 14x Solving -11 + 9x = -56 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -11 + 9x + -14x = -56 + 14x + -14x Combine like terms: 9x + -14x = -5x -11 + -5x = -56 + 14x + -14x Combine like terms: 14x + -14x = 0 -11 + -5x = -56 + 0 -11 + -5x = -56 Add '11' to each side of the equation. -11 + 11 + -5x = -56 + 11 Combine like terms: -11 + 11 = 0 0 + -5x = -56 + 11 -5x = -56 + 11 Combine like terms: -56 + 11 = -45 -5x = -45 Divide each side by '-5'. x = 9 Simplifying x = 9
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