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Simplifying 5 + -3(7 + -5x) = 4(x + 2) + -46 5 + (7 * -3 + -5x * -3) = 4(x + 2) + -46 5 + (-21 + 15x) = 4(x + 2) + -46 Combine like terms: 5 + -21 = -16 -16 + 15x = 4(x + 2) + -46 Reorder the terms: -16 + 15x = 4(2 + x) + -46 -16 + 15x = (2 * 4 + x * 4) + -46 -16 + 15x = (8 + 4x) + -46 Reorder the terms: -16 + 15x = 8 + -46 + 4x Combine like terms: 8 + -46 = -38 -16 + 15x = -38 + 4x Solving -16 + 15x = -38 + 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. -16 + 15x + -4x = -38 + 4x + -4x Combine like terms: 15x + -4x = 11x -16 + 11x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -16 + 11x = -38 + 0 -16 + 11x = -38 Add '16' to each side of the equation. -16 + 16 + 11x = -38 + 16 Combine like terms: -16 + 16 = 0 0 + 11x = -38 + 16 11x = -38 + 16 Combine like terms: -38 + 16 = -22 11x = -22 Divide each side by '11'. x = -2 Simplifying x = -2
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