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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 = -10x 8 + -10x = -6 + 3x + -3x Combine like terms: 3x + -3x = 0 8 + -10x = -6 + 0 8 + -10x = -6 Add '-8' to each side of the equation. 8 + -8 + -10x = -6 + -8 Combine like terms: 8 + -8 = 0 0 + -10x = -6 + -8 -10x = -6 + -8 Combine like terms: -6 + -8 = -14 -10x = -14 Divide each side by '-10'. x = 1.4 Simplifying x = 1.4
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