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Simplifying 3(x + -2) + -4(x) = 2(4 + -1x) + -7 Reorder the terms: 3(-2 + x) + -4(x) = 2(4 + -1x) + -7 (-2 * 3 + x * 3) + -4(x) = 2(4 + -1x) + -7 (-6 + 3x) + -4(x) = 2(4 + -1x) + -7 Combine like terms: 3x + -4x = -1x -6 + -1x = 2(4 + -1x) + -7 -6 + -1x = (4 * 2 + -1x * 2) + -7 -6 + -1x = (8 + -2x) + -7 Reorder the terms: -6 + -1x = 8 + -7 + -2x Combine like terms: 8 + -7 = 1 -6 + -1x = 1 + -2x Solving -6 + -1x = 1 + -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. -6 + -1x + 2x = 1 + -2x + 2x Combine like terms: -1x + 2x = 1x -6 + 1x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 -6 + 1x = 1 + 0 -6 + 1x = 1 Add '6' to each side of the equation. -6 + 6 + 1x = 1 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 1 + 6 1x = 1 + 6 Combine like terms: 1 + 6 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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