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Simplifying 9(x + -7) + 5 = 2x + -9 Reorder the terms: 9(-7 + x) + 5 = 2x + -9 (-7 * 9 + x * 9) + 5 = 2x + -9 (-63 + 9x) + 5 = 2x + -9 Reorder the terms: -63 + 5 + 9x = 2x + -9 Combine like terms: -63 + 5 = -58 -58 + 9x = 2x + -9 Reorder the terms: -58 + 9x = -9 + 2x Solving -58 + 9x = -9 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -58 + 9x + -2x = -9 + 2x + -2x Combine like terms: 9x + -2x = 7x -58 + 7x = -9 + 2x + -2x Combine like terms: 2x + -2x = 0 -58 + 7x = -9 + 0 -58 + 7x = -9 Add '58' to each side of the equation. -58 + 58 + 7x = -9 + 58 Combine like terms: -58 + 58 = 0 0 + 7x = -9 + 58 7x = -9 + 58 Combine like terms: -9 + 58 = 49 7x = 49 Divide each side by '7'. x = 7 Simplifying x = 7
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