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Simplifying 3(2x + -5) = 7(2x + -1) Reorder the terms: 3(-5 + 2x) = 7(2x + -1) (-5 * 3 + 2x * 3) = 7(2x + -1) (-15 + 6x) = 7(2x + -1) Reorder the terms: -15 + 6x = 7(-1 + 2x) -15 + 6x = (-1 * 7 + 2x * 7) -15 + 6x = (-7 + 14x) Solving -15 + 6x = -7 + 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 = -7 + 14x + -14x Combine like terms: 6x + -14x = -8x -15 + -8x = -7 + 14x + -14x Combine like terms: 14x + -14x = 0 -15 + -8x = -7 + 0 -15 + -8x = -7 Add '15' to each side of the equation. -15 + 15 + -8x = -7 + 15 Combine like terms: -15 + 15 = 0 0 + -8x = -7 + 15 -8x = -7 + 15 Combine like terms: -7 + 15 = 8 -8x = 8 Divide each side by '-8'. x = -1 Simplifying x = -1
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