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Simplifying 2x + -1(4x + -3) = 6x + -3(x + -4) Reorder the terms: 2x + -1(-3 + 4x) = 6x + -3(x + -4) 2x + (-3 * -1 + 4x * -1) = 6x + -3(x + -4) 2x + (3 + -4x) = 6x + -3(x + -4) Reorder the terms: 3 + 2x + -4x = 6x + -3(x + -4) Combine like terms: 2x + -4x = -2x 3 + -2x = 6x + -3(x + -4) Reorder the terms: 3 + -2x = 6x + -3(-4 + x) 3 + -2x = 6x + (-4 * -3 + x * -3) 3 + -2x = 6x + (12 + -3x) Reorder the terms: 3 + -2x = 12 + 6x + -3x Combine like terms: 6x + -3x = 3x 3 + -2x = 12 + 3x Solving 3 + -2x = 12 + 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. 3 + -2x + -3x = 12 + 3x + -3x Combine like terms: -2x + -3x = -5x 3 + -5x = 12 + 3x + -3x Combine like terms: 3x + -3x = 0 3 + -5x = 12 + 0 3 + -5x = 12 Add '-3' to each side of the equation. 3 + -3 + -5x = 12 + -3 Combine like terms: 3 + -3 = 0 0 + -5x = 12 + -3 -5x = 12 + -3 Combine like terms: 12 + -3 = 9 -5x = 9 Divide each side by '-5'. x = -1.8 Simplifying x = -1.8
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