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Simplifying 4(-1x + -3) = 3x + 5(x + -2) Reorder the terms: 4(-3 + -1x) = 3x + 5(x + -2) (-3 * 4 + -1x * 4) = 3x + 5(x + -2) (-12 + -4x) = 3x + 5(x + -2) Reorder the terms: -12 + -4x = 3x + 5(-2 + x) -12 + -4x = 3x + (-2 * 5 + x * 5) -12 + -4x = 3x + (-10 + 5x) Reorder the terms: -12 + -4x = -10 + 3x + 5x Combine like terms: 3x + 5x = 8x -12 + -4x = -10 + 8x Solving -12 + -4x = -10 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + -4x + -8x = -10 + 8x + -8x Combine like terms: -4x + -8x = -12x -12 + -12x = -10 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -12x = -10 + 0 -12 + -12x = -10 Add '12' to each side of the equation. -12 + 12 + -12x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -12x = -10 + 12 -12x = -10 + 12 Combine like terms: -10 + 12 = 2 -12x = 2 Divide each side by '-12'. x = -0.1666666667 Simplifying x = -0.1666666667
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