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Simplifying 3(2x + 5) = -7(3 + -2x) Reorder the terms: 3(5 + 2x) = -7(3 + -2x) (5 * 3 + 2x * 3) = -7(3 + -2x) (15 + 6x) = -7(3 + -2x) 15 + 6x = (3 * -7 + -2x * -7) 15 + 6x = (-21 + 14x) Solving 15 + 6x = -21 + 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 = -21 + 14x + -14x Combine like terms: 6x + -14x = -8x 15 + -8x = -21 + 14x + -14x Combine like terms: 14x + -14x = 0 15 + -8x = -21 + 0 15 + -8x = -21 Add '-15' to each side of the equation. 15 + -15 + -8x = -21 + -15 Combine like terms: 15 + -15 = 0 0 + -8x = -21 + -15 -8x = -21 + -15 Combine like terms: -21 + -15 = -36 -8x = -36 Divide each side by '-8'. x = 4.5 Simplifying x = 4.5
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