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Simplifying 2(3x + -5) = 7(2x + 2) Reorder the terms: 2(-5 + 3x) = 7(2x + 2) (-5 * 2 + 3x * 2) = 7(2x + 2) (-10 + 6x) = 7(2x + 2) Reorder the terms: -10 + 6x = 7(2 + 2x) -10 + 6x = (2 * 7 + 2x * 7) -10 + 6x = (14 + 14x) Solving -10 + 6x = 14 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -10 + 6x + -14x = 14 + 14x + -14x Combine like terms: 6x + -14x = -8x -10 + -8x = 14 + 14x + -14x Combine like terms: 14x + -14x = 0 -10 + -8x = 14 + 0 -10 + -8x = 14 Add '10' to each side of the equation. -10 + 10 + -8x = 14 + 10 Combine like terms: -10 + 10 = 0 0 + -8x = 14 + 10 -8x = 14 + 10 Combine like terms: 14 + 10 = 24 -8x = 24 Divide each side by '-8'. x = -3 Simplifying x = -3
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