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Simplifying 5(x + -2) + -2 = -4(x + -3) Reorder the terms: 5(-2 + x) + -2 = -4(x + -3) (-2 * 5 + x * 5) + -2 = -4(x + -3) (-10 + 5x) + -2 = -4(x + -3) Reorder the terms: -10 + -2 + 5x = -4(x + -3) Combine like terms: -10 + -2 = -12 -12 + 5x = -4(x + -3) Reorder the terms: -12 + 5x = -4(-3 + x) -12 + 5x = (-3 * -4 + x * -4) -12 + 5x = (12 + -4x) Solving -12 + 5x = 12 + -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. -12 + 5x + 4x = 12 + -4x + 4x Combine like terms: 5x + 4x = 9x -12 + 9x = 12 + -4x + 4x Combine like terms: -4x + 4x = 0 -12 + 9x = 12 + 0 -12 + 9x = 12 Add '12' to each side of the equation. -12 + 12 + 9x = 12 + 12 Combine like terms: -12 + 12 = 0 0 + 9x = 12 + 12 9x = 12 + 12 Combine like terms: 12 + 12 = 24 9x = 24 Divide each side by '9'. x = 2.666666667 Simplifying x = 2.666666667
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