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Simplifying 2(2x + -3) + -3(4 + -1x) = 4(3x + 2) + -1 Reorder the terms: 2(-3 + 2x) + -3(4 + -1x) = 4(3x + 2) + -1 (-3 * 2 + 2x * 2) + -3(4 + -1x) = 4(3x + 2) + -1 (-6 + 4x) + -3(4 + -1x) = 4(3x + 2) + -1 -6 + 4x + (4 * -3 + -1x * -3) = 4(3x + 2) + -1 -6 + 4x + (-12 + 3x) = 4(3x + 2) + -1 Reorder the terms: -6 + -12 + 4x + 3x = 4(3x + 2) + -1 Combine like terms: -6 + -12 = -18 -18 + 4x + 3x = 4(3x + 2) + -1 Combine like terms: 4x + 3x = 7x -18 + 7x = 4(3x + 2) + -1 Reorder the terms: -18 + 7x = 4(2 + 3x) + -1 -18 + 7x = (2 * 4 + 3x * 4) + -1 -18 + 7x = (8 + 12x) + -1 Reorder the terms: -18 + 7x = 8 + -1 + 12x Combine like terms: 8 + -1 = 7 -18 + 7x = 7 + 12x Solving -18 + 7x = 7 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -18 + 7x + -12x = 7 + 12x + -12x Combine like terms: 7x + -12x = -5x -18 + -5x = 7 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -5x = 7 + 0 -18 + -5x = 7 Add '18' to each side of the equation. -18 + 18 + -5x = 7 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 7 + 18 -5x = 7 + 18 Combine like terms: 7 + 18 = 25 -5x = 25 Divide each side by '-5'. x = -5 Simplifying x = -5
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