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Simplifying 3x + -2(2x + 1) = 4x + 2(5x + -4) Reorder the terms: 3x + -2(1 + 2x) = 4x + 2(5x + -4) 3x + (1 * -2 + 2x * -2) = 4x + 2(5x + -4) 3x + (-2 + -4x) = 4x + 2(5x + -4) Reorder the terms: -2 + 3x + -4x = 4x + 2(5x + -4) Combine like terms: 3x + -4x = -1x -2 + -1x = 4x + 2(5x + -4) Reorder the terms: -2 + -1x = 4x + 2(-4 + 5x) -2 + -1x = 4x + (-4 * 2 + 5x * 2) -2 + -1x = 4x + (-8 + 10x) Reorder the terms: -2 + -1x = -8 + 4x + 10x Combine like terms: 4x + 10x = 14x -2 + -1x = -8 + 14x Solving -2 + -1x = -8 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. -2 + -1x + -14x = -8 + 14x + -14x Combine like terms: -1x + -14x = -15x -2 + -15x = -8 + 14x + -14x Combine like terms: 14x + -14x = 0 -2 + -15x = -8 + 0 -2 + -15x = -8 Add '2' to each side of the equation. -2 + 2 + -15x = -8 + 2 Combine like terms: -2 + 2 = 0 0 + -15x = -8 + 2 -15x = -8 + 2 Combine like terms: -8 + 2 = -6 -15x = -6 Divide each side by '-15'. x = 0.4 Simplifying x = 0.4
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