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Simplifying 5x + -1(3x + 7) = 3x + -3 Reorder the terms: 5x + -1(7 + 3x) = 3x + -3 5x + (7 * -1 + 3x * -1) = 3x + -3 5x + (-7 + -3x) = 3x + -3 Reorder the terms: -7 + 5x + -3x = 3x + -3 Combine like terms: 5x + -3x = 2x -7 + 2x = 3x + -3 Reorder the terms: -7 + 2x = -3 + 3x Solving -7 + 2x = -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. -7 + 2x + -3x = -3 + 3x + -3x Combine like terms: 2x + -3x = -1x -7 + -1x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -7 + -1x = -3 + 0 -7 + -1x = -3 Add '7' to each side of the equation. -7 + 7 + -1x = -3 + 7 Combine like terms: -7 + 7 = 0 0 + -1x = -3 + 7 -1x = -3 + 7 Combine like terms: -3 + 7 = 4 -1x = 4 Divide each side by '-1'. x = -4 Simplifying x = -4
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