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Simplifying 2(x + -5) + (3x + -2) = 8x + -4 Reorder the terms: 2(-5 + x) + (3x + -2) = 8x + -4 (-5 * 2 + x * 2) + (3x + -2) = 8x + -4 (-10 + 2x) + (3x + -2) = 8x + -4 Reorder the terms: -10 + 2x + (-2 + 3x) = 8x + -4 Remove parenthesis around (-2 + 3x) -10 + 2x + -2 + 3x = 8x + -4 Reorder the terms: -10 + -2 + 2x + 3x = 8x + -4 Combine like terms: -10 + -2 = -12 -12 + 2x + 3x = 8x + -4 Combine like terms: 2x + 3x = 5x -12 + 5x = 8x + -4 Reorder the terms: -12 + 5x = -4 + 8x Solving -12 + 5x = -4 + 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 + 5x + -8x = -4 + 8x + -8x Combine like terms: 5x + -8x = -3x -12 + -3x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -3x = -4 + 0 -12 + -3x = -4 Add '12' to each side of the equation. -12 + 12 + -3x = -4 + 12 Combine like terms: -12 + 12 = 0 0 + -3x = -4 + 12 -3x = -4 + 12 Combine like terms: -4 + 12 = 8 -3x = 8 Divide each side by '-3'. x = -2.666666667 Simplifying x = -2.666666667
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