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Simplifying 3x + -5 + -1(x + 3) = 2(-2 + -4x) + 3 Reorder the terms: 3x + -5 + -1(3 + x) = 2(-2 + -4x) + 3 3x + -5 + (3 * -1 + x * -1) = 2(-2 + -4x) + 3 3x + -5 + (-3 + -1x) = 2(-2 + -4x) + 3 Reorder the terms: -5 + -3 + 3x + -1x = 2(-2 + -4x) + 3 Combine like terms: -5 + -3 = -8 -8 + 3x + -1x = 2(-2 + -4x) + 3 Combine like terms: 3x + -1x = 2x -8 + 2x = 2(-2 + -4x) + 3 -8 + 2x = (-2 * 2 + -4x * 2) + 3 -8 + 2x = (-4 + -8x) + 3 Reorder the terms: -8 + 2x = -4 + 3 + -8x Combine like terms: -4 + 3 = -1 -8 + 2x = -1 + -8x Solving -8 + 2x = -1 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -8 + 2x + 8x = -1 + -8x + 8x Combine like terms: 2x + 8x = 10x -8 + 10x = -1 + -8x + 8x Combine like terms: -8x + 8x = 0 -8 + 10x = -1 + 0 -8 + 10x = -1 Add '8' to each side of the equation. -8 + 8 + 10x = -1 + 8 Combine like terms: -8 + 8 = 0 0 + 10x = -1 + 8 10x = -1 + 8 Combine like terms: -1 + 8 = 7 10x = 7 Divide each side by '10'. x = 0.7 Simplifying x = 0.7
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