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Simplifying 5(3x + 5) = 2(7x + -4) Reorder the terms: 5(5 + 3x) = 2(7x + -4) (5 * 5 + 3x * 5) = 2(7x + -4) (25 + 15x) = 2(7x + -4) Reorder the terms: 25 + 15x = 2(-4 + 7x) 25 + 15x = (-4 * 2 + 7x * 2) 25 + 15x = (-8 + 14x) Solving 25 + 15x = -8 + 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. 25 + 15x + -14x = -8 + 14x + -14x Combine like terms: 15x + -14x = 1x 25 + 1x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 25 + 1x = -8 + 0 25 + 1x = -8 Add '-25' to each side of the equation. 25 + -25 + 1x = -8 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = -8 + -25 1x = -8 + -25 Combine like terms: -8 + -25 = -33 1x = -33 Divide each side by '1'. x = -33 Simplifying x = -33
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