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Simplifying -7(x + 5) + 1 = 9(x + -9) + 23 Reorder the terms: -7(5 + x) + 1 = 9(x + -9) + 23 (5 * -7 + x * -7) + 1 = 9(x + -9) + 23 (-35 + -7x) + 1 = 9(x + -9) + 23 Reorder the terms: -35 + 1 + -7x = 9(x + -9) + 23 Combine like terms: -35 + 1 = -34 -34 + -7x = 9(x + -9) + 23 Reorder the terms: -34 + -7x = 9(-9 + x) + 23 -34 + -7x = (-9 * 9 + x * 9) + 23 -34 + -7x = (-81 + 9x) + 23 Reorder the terms: -34 + -7x = -81 + 23 + 9x Combine like terms: -81 + 23 = -58 -34 + -7x = -58 + 9x Solving -34 + -7x = -58 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -34 + -7x + -9x = -58 + 9x + -9x Combine like terms: -7x + -9x = -16x -34 + -16x = -58 + 9x + -9x Combine like terms: 9x + -9x = 0 -34 + -16x = -58 + 0 -34 + -16x = -58 Add '34' to each side of the equation. -34 + 34 + -16x = -58 + 34 Combine like terms: -34 + 34 = 0 0 + -16x = -58 + 34 -16x = -58 + 34 Combine like terms: -58 + 34 = -24 -16x = -24 Divide each side by '-16'. x = 1.5 Simplifying x = 1.5
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