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Simplifying 2x + -3(x + 1) = 5x + -7 Reorder the terms: 2x + -3(1 + x) = 5x + -7 2x + (1 * -3 + x * -3) = 5x + -7 2x + (-3 + -3x) = 5x + -7 Reorder the terms: -3 + 2x + -3x = 5x + -7 Combine like terms: 2x + -3x = -1x -3 + -1x = 5x + -7 Reorder the terms: -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 = -6x -3 + -6x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + -6x = -7 + 0 -3 + -6x = -7 Add '3' to each side of the equation. -3 + 3 + -6x = -7 + 3 Combine like terms: -3 + 3 = 0 0 + -6x = -7 + 3 -6x = -7 + 3 Combine like terms: -7 + 3 = -4 -6x = -4 Divide each side by '-6'. x = 0.6666666667 Simplifying x = 0.6666666667
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