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Simplifying 3x + -2(5x + -4) = -3(x + -2) Reorder the terms: 3x + -2(-4 + 5x) = -3(x + -2) 3x + (-4 * -2 + 5x * -2) = -3(x + -2) 3x + (8 + -10x) = -3(x + -2) Reorder the terms: 8 + 3x + -10x = -3(x + -2) Combine like terms: 3x + -10x = -7x 8 + -7x = -3(x + -2) Reorder the terms: 8 + -7x = -3(-2 + x) 8 + -7x = (-2 * -3 + x * -3) 8 + -7x = (6 + -3x) Solving 8 + -7x = 6 + -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. 8 + -7x + 3x = 6 + -3x + 3x Combine like terms: -7x + 3x = -4x 8 + -4x = 6 + -3x + 3x Combine like terms: -3x + 3x = 0 8 + -4x = 6 + 0 8 + -4x = 6 Add '-8' to each side of the equation. 8 + -8 + -4x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + -4x = 6 + -8 -4x = 6 + -8 Combine like terms: 6 + -8 = -2 -4x = -2 Divide each side by '-4'. x = 0.5 Simplifying x = 0.5
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