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Simplifying 3x + -1(4x + -2) = 5x + -1(5 + -4x) Reorder the terms: 3x + -1(-2 + 4x) = 5x + -1(5 + -4x) 3x + (-2 * -1 + 4x * -1) = 5x + -1(5 + -4x) 3x + (2 + -4x) = 5x + -1(5 + -4x) Reorder the terms: 2 + 3x + -4x = 5x + -1(5 + -4x) Combine like terms: 3x + -4x = -1x 2 + -1x = 5x + -1(5 + -4x) 2 + -1x = 5x + (5 * -1 + -4x * -1) 2 + -1x = 5x + (-5 + 4x) Reorder the terms: 2 + -1x = -5 + 5x + 4x Combine like terms: 5x + 4x = 9x 2 + -1x = -5 + 9x Solving 2 + -1x = -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 + -1x + -9x = -5 + 9x + -9x Combine like terms: -1x + -9x = -10x 2 + -10x = -5 + 9x + -9x Combine like terms: 9x + -9x = 0 2 + -10x = -5 + 0 2 + -10x = -5 Add '-2' to each side of the equation. 2 + -2 + -10x = -5 + -2 Combine like terms: 2 + -2 = 0 0 + -10x = -5 + -2 -10x = -5 + -2 Combine like terms: -5 + -2 = -7 -10x = -7 Divide each side by '-10'. x = 0.7 Simplifying x = 0.7
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