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Simplifying 2x + -14 = 3(2x + -5) + 5 Reorder the terms: -14 + 2x = 3(2x + -5) + 5 Reorder the terms: -14 + 2x = 3(-5 + 2x) + 5 -14 + 2x = (-5 * 3 + 2x * 3) + 5 -14 + 2x = (-15 + 6x) + 5 Reorder the terms: -14 + 2x = -15 + 5 + 6x Combine like terms: -15 + 5 = -10 -14 + 2x = -10 + 6x Solving -14 + 2x = -10 + 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. -14 + 2x + -6x = -10 + 6x + -6x Combine like terms: 2x + -6x = -4x -14 + -4x = -10 + 6x + -6x Combine like terms: 6x + -6x = 0 -14 + -4x = -10 + 0 -14 + -4x = -10 Add '14' to each side of the equation. -14 + 14 + -4x = -10 + 14 Combine like terms: -14 + 14 = 0 0 + -4x = -10 + 14 -4x = -10 + 14 Combine like terms: -10 + 14 = 4 -4x = 4 Divide each side by '-4'. x = -1 Simplifying x = -1
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