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Simplifying 5(x + 3) + -2(3x + -5) = 5x + 7 Reorder the terms: 5(3 + x) + -2(3x + -5) = 5x + 7 (3 * 5 + x * 5) + -2(3x + -5) = 5x + 7 (15 + 5x) + -2(3x + -5) = 5x + 7 Reorder the terms: 15 + 5x + -2(-5 + 3x) = 5x + 7 15 + 5x + (-5 * -2 + 3x * -2) = 5x + 7 15 + 5x + (10 + -6x) = 5x + 7 Reorder the terms: 15 + 10 + 5x + -6x = 5x + 7 Combine like terms: 15 + 10 = 25 25 + 5x + -6x = 5x + 7 Combine like terms: 5x + -6x = -1x 25 + -1x = 5x + 7 Reorder the terms: 25 + -1x = 7 + 5x Solving 25 + -1x = 7 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 25 + -1x + -5x = 7 + 5x + -5x Combine like terms: -1x + -5x = -6x 25 + -6x = 7 + 5x + -5x Combine like terms: 5x + -5x = 0 25 + -6x = 7 + 0 25 + -6x = 7 Add '-25' to each side of the equation. 25 + -25 + -6x = 7 + -25 Combine like terms: 25 + -25 = 0 0 + -6x = 7 + -25 -6x = 7 + -25 Combine like terms: 7 + -25 = -18 -6x = -18 Divide each side by '-6'. x = 3 Simplifying x = 3
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