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Simplifying 3(2x + -5) = 7(2x + -9) Reorder the terms: 3(-5 + 2x) = 7(2x + -9) (-5 * 3 + 2x * 3) = 7(2x + -9) (-15 + 6x) = 7(2x + -9) Reorder the terms: -15 + 6x = 7(-9 + 2x) -15 + 6x = (-9 * 7 + 2x * 7) -15 + 6x = (-63 + 14x) Solving -15 + 6x = -63 + 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. -15 + 6x + -14x = -63 + 14x + -14x Combine like terms: 6x + -14x = -8x -15 + -8x = -63 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -8x = -63 + 0 -15 + -8x = -63 Add '15' to each side of the equation. -15 + 15 + -8x = -63 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = -63 + 15 -8x = -63 + 15 Combine like terms: -63 + 15 = -48 -8x = -48 Divide each side by '-8'. x = 6 Simplifying x = 6
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