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Simplifying 2x(3 + -5x) + 7 = 10x(3 + -1x) + -5x (3 * 2x + -5x * 2x) + 7 = 10x(3 + -1x) + -5x (6x + -10x2) + 7 = 10x(3 + -1x) + -5x Reorder the terms: 7 + 6x + -10x2 = 10x(3 + -1x) + -5x 7 + 6x + -10x2 = (3 * 10x + -1x * 10x) + -5x 7 + 6x + -10x2 = (30x + -10x2) + -5x Reorder the terms: 7 + 6x + -10x2 = 30x + -5x + -10x2 Combine like terms: 30x + -5x = 25x 7 + 6x + -10x2 = 25x + -10x2 Add '10x2' to each side of the equation. 7 + 6x + -10x2 + 10x2 = 25x + -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 7 + 6x + 0 = 25x + -10x2 + 10x2 7 + 6x = 25x + -10x2 + 10x2 Combine like terms: -10x2 + 10x2 = 0 7 + 6x = 25x + 0 7 + 6x = 25x Solving 7 + 6x = 25x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-25x' to each side of the equation. 7 + 6x + -25x = 25x + -25x Combine like terms: 6x + -25x = -19x 7 + -19x = 25x + -25x Combine like terms: 25x + -25x = 0 7 + -19x = 0 Add '-7' to each side of the equation. 7 + -7 + -19x = 0 + -7 Combine like terms: 7 + -7 = 0 0 + -19x = 0 + -7 -19x = 0 + -7 Combine like terms: 0 + -7 = -7 -19x = -7 Divide each side by '-19'. x = 0.3684210526 Simplifying x = 0.3684210526
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