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Simplifying 5 + 7x = -1(3 + -2x) + -3x 5 + 7x = (3 * -1 + -2x * -1) + -3x 5 + 7x = (-3 + 2x) + -3x Combine like terms: 2x + -3x = -1x 5 + 7x = -3 + -1x Solving 5 + 7x = -3 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5 + 7x + x = -3 + -1x + x Combine like terms: 7x + x = 8x 5 + 8x = -3 + -1x + x Combine like terms: -1x + x = 0 5 + 8x = -3 + 0 5 + 8x = -3 Add '-5' to each side of the equation. 5 + -5 + 8x = -3 + -5 Combine like terms: 5 + -5 = 0 0 + 8x = -3 + -5 8x = -3 + -5 Combine like terms: -3 + -5 = -8 8x = -8 Divide each side by '8'. x = -1 Simplifying x = -1
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