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Simplifying 3(1 + -2x) = 4(x + -5) + 3 (1 * 3 + -2x * 3) = 4(x + -5) + 3 (3 + -6x) = 4(x + -5) + 3 Reorder the terms: 3 + -6x = 4(-5 + x) + 3 3 + -6x = (-5 * 4 + x * 4) + 3 3 + -6x = (-20 + 4x) + 3 Reorder the terms: 3 + -6x = -20 + 3 + 4x Combine like terms: -20 + 3 = -17 3 + -6x = -17 + 4x Solving 3 + -6x = -17 + 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. 3 + -6x + -4x = -17 + 4x + -4x Combine like terms: -6x + -4x = -10x 3 + -10x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 3 + -10x = -17 + 0 3 + -10x = -17 Add '-3' to each side of the equation. 3 + -3 + -10x = -17 + -3 Combine like terms: 3 + -3 = 0 0 + -10x = -17 + -3 -10x = -17 + -3 Combine like terms: -17 + -3 = -20 -10x = -20 Divide each side by '-10'. x = 2 Simplifying x = 2
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