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Simplifying 2(3x + -5) + 3x = 15x + 14 Reorder the terms: 2(-5 + 3x) + 3x = 15x + 14 (-5 * 2 + 3x * 2) + 3x = 15x + 14 (-10 + 6x) + 3x = 15x + 14 Combine like terms: 6x + 3x = 9x -10 + 9x = 15x + 14 Reorder the terms: -10 + 9x = 14 + 15x Solving -10 + 9x = 14 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -10 + 9x + -15x = 14 + 15x + -15x Combine like terms: 9x + -15x = -6x -10 + -6x = 14 + 15x + -15x Combine like terms: 15x + -15x = 0 -10 + -6x = 14 + 0 -10 + -6x = 14 Add '10' to each side of the equation. -10 + 10 + -6x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -6x = 14 + 10 -6x = 14 + 10 Combine like terms: 14 + 10 = 24 -6x = 24 Divide each side by '-6'. x = -4 Simplifying x = -4
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