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Simplifying 2x + -3(x + 7) = 2(3x + -1) Reorder the terms: 2x + -3(7 + x) = 2(3x + -1) 2x + (7 * -3 + x * -3) = 2(3x + -1) 2x + (-21 + -3x) = 2(3x + -1) Reorder the terms: -21 + 2x + -3x = 2(3x + -1) Combine like terms: 2x + -3x = -1x -21 + -1x = 2(3x + -1) Reorder the terms: -21 + -1x = 2(-1 + 3x) -21 + -1x = (-1 * 2 + 3x * 2) -21 + -1x = (-2 + 6x) Solving -21 + -1x = -2 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -21 + -1x + -6x = -2 + 6x + -6x Combine like terms: -1x + -6x = -7x -21 + -7x = -2 + 6x + -6x Combine like terms: 6x + -6x = 0 -21 + -7x = -2 + 0 -21 + -7x = -2 Add '21' to each side of the equation. -21 + 21 + -7x = -2 + 21 Combine like terms: -21 + 21 = 0 0 + -7x = -2 + 21 -7x = -2 + 21 Combine like terms: -2 + 21 = 19 -7x = 19 Divide each side by '-7'. x = -2.714285714 Simplifying x = -2.714285714
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