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Simplifying 5(3x + 5) + -4(2x + -3) = 5x + 3(2x + 12) + 1 Reorder the terms: 5(5 + 3x) + -4(2x + -3) = 5x + 3(2x + 12) + 1 (5 * 5 + 3x * 5) + -4(2x + -3) = 5x + 3(2x + 12) + 1 (25 + 15x) + -4(2x + -3) = 5x + 3(2x + 12) + 1 Reorder the terms: 25 + 15x + -4(-3 + 2x) = 5x + 3(2x + 12) + 1 25 + 15x + (-3 * -4 + 2x * -4) = 5x + 3(2x + 12) + 1 25 + 15x + (12 + -8x) = 5x + 3(2x + 12) + 1 Reorder the terms: 25 + 12 + 15x + -8x = 5x + 3(2x + 12) + 1 Combine like terms: 25 + 12 = 37 37 + 15x + -8x = 5x + 3(2x + 12) + 1 Combine like terms: 15x + -8x = 7x 37 + 7x = 5x + 3(2x + 12) + 1 Reorder the terms: 37 + 7x = 5x + 3(12 + 2x) + 1 37 + 7x = 5x + (12 * 3 + 2x * 3) + 1 37 + 7x = 5x + (36 + 6x) + 1 Reorder the terms: 37 + 7x = 36 + 1 + 5x + 6x Combine like terms: 36 + 1 = 37 37 + 7x = 37 + 5x + 6x Combine like terms: 5x + 6x = 11x 37 + 7x = 37 + 11x Add '-37' to each side of the equation. 37 + -37 + 7x = 37 + -37 + 11x Combine like terms: 37 + -37 = 0 0 + 7x = 37 + -37 + 11x 7x = 37 + -37 + 11x Combine like terms: 37 + -37 = 0 7x = 0 + 11x 7x = 11x Solving 7x = 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. 7x + -11x = 11x + -11x Combine like terms: 7x + -11x = -4x -4x = 11x + -11x Combine like terms: 11x + -11x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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