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Simplifying 3(x + 1) + 45 = -3x Reorder the terms: 3(1 + x) + 45 = -3x (1 * 3 + x * 3) + 45 = -3x (3 + 3x) + 45 = -3x Reorder the terms: 3 + 45 + 3x = -3x Combine like terms: 3 + 45 = 48 48 + 3x = -3x Solving 48 + 3x = -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 + 3x + 3x = -3x + 3x Combine like terms: 3x + 3x = 6x 48 + 6x = -3x + 3x Combine like terms: -3x + 3x = 0 48 + 6x = 0 Add '-48' to each side of the equation. 48 + -48 + 6x = 0 + -48 Combine like terms: 48 + -48 = 0 0 + 6x = 0 + -48 6x = 0 + -48 Combine like terms: 0 + -48 = -48 6x = -48 Divide each side by '6'. x = -8 Simplifying x = -8
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