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Simplifying 6x + -2(2 + -3x) = 4(x + -3) + -40 6x + (2 * -2 + -3x * -2) = 4(x + -3) + -40 6x + (-4 + 6x) = 4(x + -3) + -40 Reorder the terms: -4 + 6x + 6x = 4(x + -3) + -40 Combine like terms: 6x + 6x = 12x -4 + 12x = 4(x + -3) + -40 Reorder the terms: -4 + 12x = 4(-3 + x) + -40 -4 + 12x = (-3 * 4 + x * 4) + -40 -4 + 12x = (-12 + 4x) + -40 Reorder the terms: -4 + 12x = -12 + -40 + 4x Combine like terms: -12 + -40 = -52 -4 + 12x = -52 + 4x Solving -4 + 12x = -52 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -4 + 12x + -4x = -52 + 4x + -4x Combine like terms: 12x + -4x = 8x -4 + 8x = -52 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 8x = -52 + 0 -4 + 8x = -52 Add '4' to each side of the equation. -4 + 4 + 8x = -52 + 4 Combine like terms: -4 + 4 = 0 0 + 8x = -52 + 4 8x = -52 + 4 Combine like terms: -52 + 4 = -48 8x = -48 Divide each side by '8'. x = -6 Simplifying x = -6
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