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Simplifying 2x + -7 = 3x + -1[x + -1(x + -3)] Reorder the terms: -7 + 2x = 3x + -1[x + -1(x + -3)] Reorder the terms: -7 + 2x = 3x + -1[x + -1(-3 + x)] -7 + 2x = 3x + -1[x + (-3 * -1 + x * -1)] -7 + 2x = 3x + -1[x + (3 + -1x)] Reorder the terms: -7 + 2x = 3x + -1[3 + x + -1x] Combine like terms: x + -1x = 0 -7 + 2x = 3x + -1[3 + 0] -7 + 2x = 3x + -1[3] Multiply -1 * 3 -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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