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Simplifying 5(x + 7) = -3x + 3 Reorder the terms: 5(7 + x) = -3x + 3 (7 * 5 + x * 5) = -3x + 3 (35 + 5x) = -3x + 3 Reorder the terms: 35 + 5x = 3 + -3x Solving 35 + 5x = 3 + -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. 35 + 5x + 3x = 3 + -3x + 3x Combine like terms: 5x + 3x = 8x 35 + 8x = 3 + -3x + 3x Combine like terms: -3x + 3x = 0 35 + 8x = 3 + 0 35 + 8x = 3 Add '-35' to each side of the equation. 35 + -35 + 8x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 8x = 3 + -35 8x = 3 + -35 Combine like terms: 3 + -35 = -32 8x = -32 Divide each side by '8'. x = -4 Simplifying x = -4
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