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Simplifying 2x(3x + -5) + 1 = 3x(2x + 5) + 3 Reorder the terms: 2x(-5 + 3x) + 1 = 3x(2x + 5) + 3 (-5 * 2x + 3x * 2x) + 1 = 3x(2x + 5) + 3 (-10x + 6x2) + 1 = 3x(2x + 5) + 3 Reorder the terms: 1 + -10x + 6x2 = 3x(2x + 5) + 3 Reorder the terms: 1 + -10x + 6x2 = 3x(5 + 2x) + 3 1 + -10x + 6x2 = (5 * 3x + 2x * 3x) + 3 1 + -10x + 6x2 = (15x + 6x2) + 3 Reorder the terms: 1 + -10x + 6x2 = 3 + 15x + 6x2 Add '-6x2' to each side of the equation. 1 + -10x + 6x2 + -6x2 = 3 + 15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 1 + -10x + 0 = 3 + 15x + 6x2 + -6x2 1 + -10x = 3 + 15x + 6x2 + -6x2 Combine like terms: 6x2 + -6x2 = 0 1 + -10x = 3 + 15x + 0 1 + -10x = 3 + 15x Solving 1 + -10x = 3 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 1 + -10x + -15x = 3 + 15x + -15x Combine like terms: -10x + -15x = -25x 1 + -25x = 3 + 15x + -15x Combine like terms: 15x + -15x = 0 1 + -25x = 3 + 0 1 + -25x = 3 Add '-1' to each side of the equation. 1 + -1 + -25x = 3 + -1 Combine like terms: 1 + -1 = 0 0 + -25x = 3 + -1 -25x = 3 + -1 Combine like terms: 3 + -1 = 2 -25x = 2 Divide each side by '-25'. x = -0.08 Simplifying x = -0.08
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