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Simplifying 5(4 + x) = 4(4x + -1) + -42 (4 * 5 + x * 5) = 4(4x + -1) + -42 (20 + 5x) = 4(4x + -1) + -42 Reorder the terms: 20 + 5x = 4(-1 + 4x) + -42 20 + 5x = (-1 * 4 + 4x * 4) + -42 20 + 5x = (-4 + 16x) + -42 Reorder the terms: 20 + 5x = -4 + -42 + 16x Combine like terms: -4 + -42 = -46 20 + 5x = -46 + 16x Solving 20 + 5x = -46 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 20 + 5x + -16x = -46 + 16x + -16x Combine like terms: 5x + -16x = -11x 20 + -11x = -46 + 16x + -16x Combine like terms: 16x + -16x = 0 20 + -11x = -46 + 0 20 + -11x = -46 Add '-20' to each side of the equation. 20 + -20 + -11x = -46 + -20 Combine like terms: 20 + -20 = 0 0 + -11x = -46 + -20 -11x = -46 + -20 Combine like terms: -46 + -20 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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