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Simplifying 7(x + -3) + -1(6 + 4x) = -2 + 2x Reorder the terms: 7(-3 + x) + -1(6 + 4x) = -2 + 2x (-3 * 7 + x * 7) + -1(6 + 4x) = -2 + 2x (-21 + 7x) + -1(6 + 4x) = -2 + 2x -21 + 7x + (6 * -1 + 4x * -1) = -2 + 2x -21 + 7x + (-6 + -4x) = -2 + 2x Reorder the terms: -21 + -6 + 7x + -4x = -2 + 2x Combine like terms: -21 + -6 = -27 -27 + 7x + -4x = -2 + 2x Combine like terms: 7x + -4x = 3x -27 + 3x = -2 + 2x Solving -27 + 3x = -2 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -27 + 3x + -2x = -2 + 2x + -2x Combine like terms: 3x + -2x = 1x -27 + 1x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 -27 + 1x = -2 + 0 -27 + 1x = -2 Add '27' to each side of the equation. -27 + 27 + 1x = -2 + 27 Combine like terms: -27 + 27 = 0 0 + 1x = -2 + 27 1x = -2 + 27 Combine like terms: -2 + 27 = 25 1x = 25 Divide each side by '1'. x = 25 Simplifying x = 25
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