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Simplifying 8(x + 1) = -3x + 52 Reorder the terms: 8(1 + x) = -3x + 52 (1 * 8 + x * 8) = -3x + 52 (8 + 8x) = -3x + 52 Reorder the terms: 8 + 8x = 52 + -3x Solving 8 + 8x = 52 + -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. 8 + 8x + 3x = 52 + -3x + 3x Combine like terms: 8x + 3x = 11x 8 + 11x = 52 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + 11x = 52 + 0 8 + 11x = 52 Add '-8' to each side of the equation. 8 + -8 + 11x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 52 + -8 11x = 52 + -8 Combine like terms: 52 + -8 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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