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