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Simplifying 5(x + 1) + 43 = -3x Reorder the terms: 5(1 + x) + 43 = -3x (1 * 5 + x * 5) + 43 = -3x (5 + 5x) + 43 = -3x Reorder the terms: 5 + 43 + 5x = -3x Combine like terms: 5 + 43 = 48 48 + 5x = -3x Solving 48 + 5x = -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. 48 + 5x + 3x = -3x + 3x Combine like terms: 5x + 3x = 8x 48 + 8x = -3x + 3x Combine like terms: -3x + 3x = 0 48 + 8x = 0 Add '-48' to each side of the equation. 48 + -48 + 8x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 8x = 0 + -48 8x = 0 + -48 Combine like terms: 0 + -48 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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