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Simplifying 4 + -1(3x + 2) = 7x + -2(4x + -3) Reorder the terms: 4 + -1(2 + 3x) = 7x + -2(4x + -3) 4 + (2 * -1 + 3x * -1) = 7x + -2(4x + -3) 4 + (-2 + -3x) = 7x + -2(4x + -3) Combine like terms: 4 + -2 = 2 2 + -3x = 7x + -2(4x + -3) Reorder the terms: 2 + -3x = 7x + -2(-3 + 4x) 2 + -3x = 7x + (-3 * -2 + 4x * -2) 2 + -3x = 7x + (6 + -8x) Reorder the terms: 2 + -3x = 6 + 7x + -8x Combine like terms: 7x + -8x = -1x 2 + -3x = 6 + -1x Solving 2 + -3x = 6 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 2 + -3x + x = 6 + -1x + x Combine like terms: -3x + x = -2x 2 + -2x = 6 + -1x + x Combine like terms: -1x + x = 0 2 + -2x = 6 + 0 2 + -2x = 6 Add '-2' to each side of the equation. 2 + -2 + -2x = 6 + -2 Combine like terms: 2 + -2 = 0 0 + -2x = 6 + -2 -2x = 6 + -2 Combine like terms: 6 + -2 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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