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Simplifying 6x + (3x + -2) = 4(-5x + 14) Reorder the terms: 6x + (-2 + 3x) = 4(-5x + 14) Remove parenthesis around (-2 + 3x) 6x + -2 + 3x = 4(-5x + 14) Reorder the terms: -2 + 6x + 3x = 4(-5x + 14) Combine like terms: 6x + 3x = 9x -2 + 9x = 4(-5x + 14) Reorder the terms: -2 + 9x = 4(14 + -5x) -2 + 9x = (14 * 4 + -5x * 4) -2 + 9x = (56 + -20x) Solving -2 + 9x = 56 + -20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '20x' to each side of the equation. -2 + 9x + 20x = 56 + -20x + 20x Combine like terms: 9x + 20x = 29x -2 + 29x = 56 + -20x + 20x Combine like terms: -20x + 20x = 0 -2 + 29x = 56 + 0 -2 + 29x = 56 Add '2' to each side of the equation. -2 + 2 + 29x = 56 + 2 Combine like terms: -2 + 2 = 0 0 + 29x = 56 + 2 29x = 56 + 2 Combine like terms: 56 + 2 = 58 29x = 58 Divide each side by '29'. x = 2 Simplifying x = 2
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