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Simplifying 3x + 5(x + -2) = 7x + -1(4x + 3) Reorder the terms: 3x + 5(-2 + x) = 7x + -1(4x + 3) 3x + (-2 * 5 + x * 5) = 7x + -1(4x + 3) 3x + (-10 + 5x) = 7x + -1(4x + 3) Reorder the terms: -10 + 3x + 5x = 7x + -1(4x + 3) Combine like terms: 3x + 5x = 8x -10 + 8x = 7x + -1(4x + 3) Reorder the terms: -10 + 8x = 7x + -1(3 + 4x) -10 + 8x = 7x + (3 * -1 + 4x * -1) -10 + 8x = 7x + (-3 + -4x) Reorder the terms: -10 + 8x = -3 + 7x + -4x Combine like terms: 7x + -4x = 3x -10 + 8x = -3 + 3x Solving -10 + 8x = -3 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -10 + 8x + -3x = -3 + 3x + -3x Combine like terms: 8x + -3x = 5x -10 + 5x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 -10 + 5x = -3 + 0 -10 + 5x = -3 Add '10' to each side of the equation. -10 + 10 + 5x = -3 + 10 Combine like terms: -10 + 10 = 0 0 + 5x = -3 + 10 5x = -3 + 10 Combine like terms: -3 + 10 = 7 5x = 7 Divide each side by '5'. x = 1.4 Simplifying x = 1.4
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