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Simplifying 3x + -2(2x + 3) + -4 = 5(x + -3) + -8 Reorder the terms: 3x + -2(3 + 2x) + -4 = 5(x + -3) + -8 3x + (3 * -2 + 2x * -2) + -4 = 5(x + -3) + -8 3x + (-6 + -4x) + -4 = 5(x + -3) + -8 Reorder the terms: -6 + -4 + 3x + -4x = 5(x + -3) + -8 Combine like terms: -6 + -4 = -10 -10 + 3x + -4x = 5(x + -3) + -8 Combine like terms: 3x + -4x = -1x -10 + -1x = 5(x + -3) + -8 Reorder the terms: -10 + -1x = 5(-3 + x) + -8 -10 + -1x = (-3 * 5 + x * 5) + -8 -10 + -1x = (-15 + 5x) + -8 Reorder the terms: -10 + -1x = -15 + -8 + 5x Combine like terms: -15 + -8 = -23 -10 + -1x = -23 + 5x Solving -10 + -1x = -23 + 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. -10 + -1x + -5x = -23 + 5x + -5x Combine like terms: -1x + -5x = -6x -10 + -6x = -23 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + -6x = -23 + 0 -10 + -6x = -23 Add '10' to each side of the equation. -10 + 10 + -6x = -23 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = -23 + 10 -6x = -23 + 10 Combine like terms: -23 + 10 = -13 -6x = -13 Divide each side by '-6'. x = 2.166666667 Simplifying x = 2.166666667
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