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Simplifying 4(2 + -1x) + -3(7x + 5) + 6(3x + -1) = 2(8 + -1x) (2 * 4 + -1x * 4) + -3(7x + 5) + 6(3x + -1) = 2(8 + -1x) (8 + -4x) + -3(7x + 5) + 6(3x + -1) = 2(8 + -1x) Reorder the terms: 8 + -4x + -3(5 + 7x) + 6(3x + -1) = 2(8 + -1x) 8 + -4x + (5 * -3 + 7x * -3) + 6(3x + -1) = 2(8 + -1x) 8 + -4x + (-15 + -21x) + 6(3x + -1) = 2(8 + -1x) Reorder the terms: 8 + -4x + -15 + -21x + 6(-1 + 3x) = 2(8 + -1x) 8 + -4x + -15 + -21x + (-1 * 6 + 3x * 6) = 2(8 + -1x) 8 + -4x + -15 + -21x + (-6 + 18x) = 2(8 + -1x) Reorder the terms: 8 + -15 + -6 + -4x + -21x + 18x = 2(8 + -1x) Combine like terms: 8 + -15 = -7 -7 + -6 + -4x + -21x + 18x = 2(8 + -1x) Combine like terms: -7 + -6 = -13 -13 + -4x + -21x + 18x = 2(8 + -1x) Combine like terms: -4x + -21x = -25x -13 + -25x + 18x = 2(8 + -1x) Combine like terms: -25x + 18x = -7x -13 + -7x = 2(8 + -1x) -13 + -7x = (8 * 2 + -1x * 2) -13 + -7x = (16 + -2x) Solving -13 + -7x = 16 + -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. -13 + -7x + 2x = 16 + -2x + 2x Combine like terms: -7x + 2x = -5x -13 + -5x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 -13 + -5x = 16 + 0 -13 + -5x = 16 Add '13' to each side of the equation. -13 + 13 + -5x = 16 + 13 Combine like terms: -13 + 13 = 0 0 + -5x = 16 + 13 -5x = 16 + 13 Combine like terms: 16 + 13 = 29 -5x = 29 Divide each side by '-5'. x = -5.8 Simplifying x = -5.8
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