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Simplifying 5(x + 9) + 7 = -3(x + -7) + -1 Reorder the terms: 5(9 + x) + 7 = -3(x + -7) + -1 (9 * 5 + x * 5) + 7 = -3(x + -7) + -1 (45 + 5x) + 7 = -3(x + -7) + -1 Reorder the terms: 45 + 7 + 5x = -3(x + -7) + -1 Combine like terms: 45 + 7 = 52 52 + 5x = -3(x + -7) + -1 Reorder the terms: 52 + 5x = -3(-7 + x) + -1 52 + 5x = (-7 * -3 + x * -3) + -1 52 + 5x = (21 + -3x) + -1 Reorder the terms: 52 + 5x = 21 + -1 + -3x Combine like terms: 21 + -1 = 20 52 + 5x = 20 + -3x Solving 52 + 5x = 20 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 52 + 5x + 3x = 20 + -3x + 3x Combine like terms: 5x + 3x = 8x 52 + 8x = 20 + -3x + 3x Combine like terms: -3x + 3x = 0 52 + 8x = 20 + 0 52 + 8x = 20 Add '-52' to each side of the equation. 52 + -52 + 8x = 20 + -52 Combine like terms: 52 + -52 = 0 0 + 8x = 20 + -52 8x = 20 + -52 Combine like terms: 20 + -52 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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