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Simplifying 5x + -3(2x + -1) = 7 + -5x Reorder the terms: 5x + -3(-1 + 2x) = 7 + -5x 5x + (-1 * -3 + 2x * -3) = 7 + -5x 5x + (3 + -6x) = 7 + -5x Reorder the terms: 3 + 5x + -6x = 7 + -5x Combine like terms: 5x + -6x = -1x 3 + -1x = 7 + -5x Solving 3 + -1x = 7 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + -1x + 5x = 7 + -5x + 5x Combine like terms: -1x + 5x = 4x 3 + 4x = 7 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + 4x = 7 + 0 3 + 4x = 7 Add '-3' to each side of the equation. 3 + -3 + 4x = 7 + -3 Combine like terms: 3 + -3 = 0 0 + 4x = 7 + -3 4x = 7 + -3 Combine like terms: 7 + -3 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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