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Simplifying 5x + -2(x + 4) = 3(2x + 1) Reorder the terms: 5x + -2(4 + x) = 3(2x + 1) 5x + (4 * -2 + x * -2) = 3(2x + 1) 5x + (-8 + -2x) = 3(2x + 1) Reorder the terms: -8 + 5x + -2x = 3(2x + 1) Combine like terms: 5x + -2x = 3x -8 + 3x = 3(2x + 1) Reorder the terms: -8 + 3x = 3(1 + 2x) -8 + 3x = (1 * 3 + 2x * 3) -8 + 3x = (3 + 6x) Solving -8 + 3x = 3 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 3x + -6x = 3 + 6x + -6x Combine like terms: 3x + -6x = -3x -8 + -3x = 3 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + -3x = 3 + 0 -8 + -3x = 3 Add '8' to each side of the equation. -8 + 8 + -3x = 3 + 8 Combine like terms: -8 + 8 = 0 0 + -3x = 3 + 8 -3x = 3 + 8 Combine like terms: 3 + 8 = 11 -3x = 11 Divide each side by '-3'. x = -3.666666667 Simplifying x = -3.666666667
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