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Simplifying 3x + -10(x + 2) = 13x + -7x Reorder the terms: 3x + -10(2 + x) = 13x + -7x 3x + (2 * -10 + x * -10) = 13x + -7x 3x + (-20 + -10x) = 13x + -7x Reorder the terms: -20 + 3x + -10x = 13x + -7x Combine like terms: 3x + -10x = -7x -20 + -7x = 13x + -7x Combine like terms: 13x + -7x = 6x -20 + -7x = 6x Solving -20 + -7x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -20 + -7x + -6x = 6x + -6x Combine like terms: -7x + -6x = -13x -20 + -13x = 6x + -6x Combine like terms: 6x + -6x = 0 -20 + -13x = 0 Add '20' to each side of the equation. -20 + 20 + -13x = 0 + 20 Combine like terms: -20 + 20 = 0 0 + -13x = 0 + 20 -13x = 0 + 20 Combine like terms: 0 + 20 = 20 -13x = 20 Divide each side by '-13'. x = -1.538461538 Simplifying x = -1.538461538
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