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Simplifying 5(6 + -2x) + -3(5x + -7) = 0 (6 * 5 + -2x * 5) + -3(5x + -7) = 0 (30 + -10x) + -3(5x + -7) = 0 Reorder the terms: 30 + -10x + -3(-7 + 5x) = 0 30 + -10x + (-7 * -3 + 5x * -3) = 0 30 + -10x + (21 + -15x) = 0 Reorder the terms: 30 + 21 + -10x + -15x = 0 Combine like terms: 30 + 21 = 51 51 + -10x + -15x = 0 Combine like terms: -10x + -15x = -25x 51 + -25x = 0 Solving 51 + -25x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-51' to each side of the equation. 51 + -51 + -25x = 0 + -51 Combine like terms: 51 + -51 = 0 0 + -25x = 0 + -51 -25x = 0 + -51 Combine like terms: 0 + -51 = -51 -25x = -51 Divide each side by '-25'. x = 2.04 Simplifying x = 2.04
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