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Simplifying 5x + 3(x + -2) + -9x + 7 = 0 Reorder the terms: 5x + 3(-2 + x) + -9x + 7 = 0 5x + (-2 * 3 + x * 3) + -9x + 7 = 0 5x + (-6 + 3x) + -9x + 7 = 0 Reorder the terms: -6 + 7 + 5x + 3x + -9x = 0 Combine like terms: -6 + 7 = 1 1 + 5x + 3x + -9x = 0 Combine like terms: 5x + 3x = 8x 1 + 8x + -9x = 0 Combine like terms: 8x + -9x = -1x 1 + -1x = 0 Solving 1 + -1x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -1x = 0 + -1 Combine like terms: 1 + -1 = 0 0 + -1x = 0 + -1 -1x = 0 + -1 Combine like terms: 0 + -1 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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