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Simplifying 5x + -3(x + 4) = 5(x + -2) Reorder the terms: 5x + -3(4 + x) = 5(x + -2) 5x + (4 * -3 + x * -3) = 5(x + -2) 5x + (-12 + -3x) = 5(x + -2) Reorder the terms: -12 + 5x + -3x = 5(x + -2) Combine like terms: 5x + -3x = 2x -12 + 2x = 5(x + -2) Reorder the terms: -12 + 2x = 5(-2 + x) -12 + 2x = (-2 * 5 + x * 5) -12 + 2x = (-10 + 5x) Solving -12 + 2x = -10 + 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 + 2x + -5x = -10 + 5x + -5x Combine like terms: 2x + -5x = -3x -12 + -3x = -10 + 5x + -5x Combine like terms: 5x + -5x = 0 -12 + -3x = -10 + 0 -12 + -3x = -10 Add '12' to each side of the equation. -12 + 12 + -3x = -10 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -10 + 12 -3x = -10 + 12 Combine like terms: -10 + 12 = 2 -3x = 2 Divide each side by '-3'. x = -0.6666666667 Simplifying x = -0.6666666667
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