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Simplifying 3 + -1(4x + 5) = 10x + 2 + -1x + -7 Reorder the terms: 3 + -1(5 + 4x) = 10x + 2 + -1x + -7 3 + (5 * -1 + 4x * -1) = 10x + 2 + -1x + -7 3 + (-5 + -4x) = 10x + 2 + -1x + -7 Combine like terms: 3 + -5 = -2 -2 + -4x = 10x + 2 + -1x + -7 Reorder the terms: -2 + -4x = 2 + -7 + 10x + -1x Combine like terms: 2 + -7 = -5 -2 + -4x = -5 + 10x + -1x Combine like terms: 10x + -1x = 9x -2 + -4x = -5 + 9x Solving -2 + -4x = -5 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -2 + -4x + -9x = -5 + 9x + -9x Combine like terms: -4x + -9x = -13x -2 + -13x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -13x = -5 + 0 -2 + -13x = -5 Add '2' to each side of the equation. -2 + 2 + -13x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -13x = -5 + 2 -13x = -5 + 2 Combine like terms: -5 + 2 = -3 -13x = -3 Divide each side by '-13'. x = 0.2307692308 Simplifying x = 0.2307692308
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