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Simplifying 3x + 2(x + -1) = 4(x + 3) + -7 Reorder the terms: 3x + 2(-1 + x) = 4(x + 3) + -7 3x + (-1 * 2 + x * 2) = 4(x + 3) + -7 3x + (-2 + 2x) = 4(x + 3) + -7 Reorder the terms: -2 + 3x + 2x = 4(x + 3) + -7 Combine like terms: 3x + 2x = 5x -2 + 5x = 4(x + 3) + -7 Reorder the terms: -2 + 5x = 4(3 + x) + -7 -2 + 5x = (3 * 4 + x * 4) + -7 -2 + 5x = (12 + 4x) + -7 Reorder the terms: -2 + 5x = 12 + -7 + 4x Combine like terms: 12 + -7 = 5 -2 + 5x = 5 + 4x Solving -2 + 5x = 5 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -2 + 5x + -4x = 5 + 4x + -4x Combine like terms: 5x + -4x = 1x -2 + 1x = 5 + 4x + -4x Combine like terms: 4x + -4x = 0 -2 + 1x = 5 + 0 -2 + 1x = 5 Add '2' to each side of the equation. -2 + 2 + 1x = 5 + 2 Combine like terms: -2 + 2 = 0 0 + 1x = 5 + 2 1x = 5 + 2 Combine like terms: 5 + 2 = 7 1x = 7 Divide each side by '1'. x = 7 Simplifying x = 7
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