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Simplifying 3(x + -1) + -1(4x + 2) = 3[2x + -9x + 3] Reorder the terms: 3(-1 + x) + -1(4x + 2) = 3[2x + -9x + 3] (-1 * 3 + x * 3) + -1(4x + 2) = 3[2x + -9x + 3] (-3 + 3x) + -1(4x + 2) = 3[2x + -9x + 3] Reorder the terms: -3 + 3x + -1(2 + 4x) = 3[2x + -9x + 3] -3 + 3x + (2 * -1 + 4x * -1) = 3[2x + -9x + 3] -3 + 3x + (-2 + -4x) = 3[2x + -9x + 3] Reorder the terms: -3 + -2 + 3x + -4x = 3[2x + -9x + 3] Combine like terms: -3 + -2 = -5 -5 + 3x + -4x = 3[2x + -9x + 3] Combine like terms: 3x + -4x = -1x -5 + -1x = 3[2x + -9x + 3] Reorder the terms: -5 + -1x = 3[3 + 2x + -9x] Combine like terms: 2x + -9x = -7x -5 + -1x = 3[3 + -7x] -5 + -1x = [3 * 3 + -7x * 3] -5 + -1x = [9 + -21x] Solving -5 + -1x = 9 + -21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21x' to each side of the equation. -5 + -1x + 21x = 9 + -21x + 21x Combine like terms: -1x + 21x = 20x -5 + 20x = 9 + -21x + 21x Combine like terms: -21x + 21x = 0 -5 + 20x = 9 + 0 -5 + 20x = 9 Add '5' to each side of the equation. -5 + 5 + 20x = 9 + 5 Combine like terms: -5 + 5 = 0 0 + 20x = 9 + 5 20x = 9 + 5 Combine like terms: 9 + 5 = 14 20x = 14 Divide each side by '20'. x = 0.7 Simplifying x = 0.7
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