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Simplifying 3(x + -4) = 2x + -1(6x + x) Reorder the terms: 3(-4 + x) = 2x + -1(6x + x) (-4 * 3 + x * 3) = 2x + -1(6x + x) (-12 + 3x) = 2x + -1(6x + x) Combine like terms: 6x + x = 7x -12 + 3x = 2x + -1(7x) Remove parenthesis around (7x) -12 + 3x = 2x + -1 * 7x Multiply -1 * 7 -12 + 3x = 2x + -7x Combine like terms: 2x + -7x = -5x -12 + 3x = -5x Solving -12 + 3x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -12 + 3x + 5x = -5x + 5x Combine like terms: 3x + 5x = 8x -12 + 8x = -5x + 5x Combine like terms: -5x + 5x = 0 -12 + 8x = 0 Add '12' to each side of the equation. -12 + 12 + 8x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 8x = 0 + 12 8x = 0 + 12 Combine like terms: 0 + 12 = 12 8x = 12 Divide each side by '8'. x = 1.5 Simplifying x = 1.5
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