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Simplifying 3(x + -2) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x Reorder the terms: 3(-2 + x) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x (-2 * 3 + x * 3) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x (-6 + 3x) + -1(2 + -5x) = 4 + -6(2 + -3) + -7x -6 + 3x + (2 * -1 + -5x * -1) = 4 + -6(2 + -3) + -7x -6 + 3x + (-2 + 5x) = 4 + -6(2 + -3) + -7x Reorder the terms: -6 + -2 + 3x + 5x = 4 + -6(2 + -3) + -7x Combine like terms: -6 + -2 = -8 -8 + 3x + 5x = 4 + -6(2 + -3) + -7x Combine like terms: 3x + 5x = 8x -8 + 8x = 4 + -6(2 + -3) + -7x Combine like terms: 2 + -3 = -1 -8 + 8x = 4 + -6(-1) + -7x Multiply -6 * -1 -8 + 8x = 4 + 6 + -7x Combine like terms: 4 + 6 = 10 -8 + 8x = 10 + -7x Solving -8 + 8x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -8 + 8x + 7x = 10 + -7x + 7x Combine like terms: 8x + 7x = 15x -8 + 15x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 -8 + 15x = 10 + 0 -8 + 15x = 10 Add '8' to each side of the equation. -8 + 8 + 15x = 10 + 8 Combine like terms: -8 + 8 = 0 0 + 15x = 10 + 8 15x = 10 + 8 Combine like terms: 10 + 8 = 18 15x = 18 Divide each side by '15'. x = 1.2 Simplifying x = 1.2
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