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Simplifying 6 + -9 = 5(x + -2) + -4x Combine like terms: 6 + -9 = -3 -3 = 5(x + -2) + -4x Reorder the terms: -3 = 5(-2 + x) + -4x -3 = (-2 * 5 + x * 5) + -4x -3 = (-10 + 5x) + -4x Combine like terms: 5x + -4x = 1x -3 = -10 + 1x Solving -3 = -10 + 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. -3 + -1x = -10 + 1x + -1x Combine like terms: 1x + -1x = 0 -3 + -1x = -10 + 0 -3 + -1x = -10 Add '3' to each side of the equation. -3 + 3 + -1x = -10 + 3 Combine like terms: -3 + 3 = 0 0 + -1x = -10 + 3 -1x = -10 + 3 Combine like terms: -10 + 3 = -7 -1x = -7 Divide each side by '-1'. x = 7 Simplifying x = 7
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