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Simplifying 41 = -2(21 + -1x) + 3(x + -4) 41 = (21 * -2 + -1x * -2) + 3(x + -4) 41 = (-42 + 2x) + 3(x + -4) Reorder the terms: 41 = -42 + 2x + 3(-4 + x) 41 = -42 + 2x + (-4 * 3 + x * 3) 41 = -42 + 2x + (-12 + 3x) Reorder the terms: 41 = -42 + -12 + 2x + 3x Combine like terms: -42 + -12 = -54 41 = -54 + 2x + 3x Combine like terms: 2x + 3x = 5x 41 = -54 + 5x Solving 41 = -54 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 41 + -5x = -54 + 5x + -5x Combine like terms: 5x + -5x = 0 41 + -5x = -54 + 0 41 + -5x = -54 Add '-41' to each side of the equation. 41 + -41 + -5x = -54 + -41 Combine like terms: 41 + -41 = 0 0 + -5x = -54 + -41 -5x = -54 + -41 Combine like terms: -54 + -41 = -95 -5x = -95 Divide each side by '-5'. x = 19 Simplifying x = 19
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