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