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Simplifying 5(x + 2) = -3(x + 7) + 53 Reorder the terms: 5(2 + x) = -3(x + 7) + 53 (2 * 5 + x * 5) = -3(x + 7) + 53 (10 + 5x) = -3(x + 7) + 53 Reorder the terms: 10 + 5x = -3(7 + x) + 53 10 + 5x = (7 * -3 + x * -3) + 53 10 + 5x = (-21 + -3x) + 53 Reorder the terms: 10 + 5x = -21 + 53 + -3x Combine like terms: -21 + 53 = 32 10 + 5x = 32 + -3x Solving 10 + 5x = 32 + -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. 10 + 5x + 3x = 32 + -3x + 3x Combine like terms: 5x + 3x = 8x 10 + 8x = 32 + -3x + 3x Combine like terms: -3x + 3x = 0 10 + 8x = 32 + 0 10 + 8x = 32 Add '-10' to each side of the equation. 10 + -10 + 8x = 32 + -10 Combine like terms: 10 + -10 = 0 0 + 8x = 32 + -10 8x = 32 + -10 Combine like terms: 32 + -10 = 22 8x = 22 Divide each side by '8'. x = 2.75 Simplifying x = 2.75
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