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Simplifying (2x + -5) + -1x = -7(x + 3) Reorder the terms: (-5 + 2x) + -1x = -7(x + 3) Remove parenthesis around (-5 + 2x) -5 + 2x + -1x = -7(x + 3) Combine like terms: 2x + -1x = 1x -5 + 1x = -7(x + 3) Reorder the terms: -5 + 1x = -7(3 + x) -5 + 1x = (3 * -7 + x * -7) -5 + 1x = (-21 + -7x) Solving -5 + 1x = -21 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 1x + 7x = -21 + -7x + 7x Combine like terms: 1x + 7x = 8x -5 + 8x = -21 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 8x = -21 + 0 -5 + 8x = -21 Add '5' to each side of the equation. -5 + 5 + 8x = -21 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = -21 + 5 8x = -21 + 5 Combine like terms: -21 + 5 = -16 8x = -16 Divide each side by '8'. x = -2 Simplifying x = -2
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