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Simplifying -1(6x + 1) + -4(2 + -3x) = 3(2x + -1x) Reorder the terms: -1(1 + 6x) + -4(2 + -3x) = 3(2x + -1x) (1 * -1 + 6x * -1) + -4(2 + -3x) = 3(2x + -1x) (-1 + -6x) + -4(2 + -3x) = 3(2x + -1x) -1 + -6x + (2 * -4 + -3x * -4) = 3(2x + -1x) -1 + -6x + (-8 + 12x) = 3(2x + -1x) Reorder the terms: -1 + -8 + -6x + 12x = 3(2x + -1x) Combine like terms: -1 + -8 = -9 -9 + -6x + 12x = 3(2x + -1x) Combine like terms: -6x + 12x = 6x -9 + 6x = 3(2x + -1x) Combine like terms: 2x + -1x = 1x -9 + 6x = 3(1x) Remove parenthesis around (1x) -9 + 6x = 3 * 1x Multiply 3 * 1 -9 + 6x = 3x Solving -9 + 6x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -9 + 6x + -3x = 3x + -3x Combine like terms: 6x + -3x = 3x -9 + 3x = 3x + -3x Combine like terms: 3x + -3x = 0 -9 + 3x = 0 Add '9' to each side of the equation. -9 + 9 + 3x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3x = 0 + 9 3x = 0 + 9 Combine like terms: 0 + 9 = 9 3x = 9 Divide each side by '3'. x = 3 Simplifying x = 3
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