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Simplifying 4x + -1(8x + 8) = 3x + -43 Reorder the terms: 4x + -1(8 + 8x) = 3x + -43 4x + (8 * -1 + 8x * -1) = 3x + -43 4x + (-8 + -8x) = 3x + -43 Reorder the terms: -8 + 4x + -8x = 3x + -43 Combine like terms: 4x + -8x = -4x -8 + -4x = 3x + -43 Reorder the terms: -8 + -4x = -43 + 3x Solving -8 + -4x = -43 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -8 + -4x + -3x = -43 + 3x + -3x Combine like terms: -4x + -3x = -7x -8 + -7x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + -7x = -43 + 0 -8 + -7x = -43 Add '8' to each side of the equation. -8 + 8 + -7x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + -7x = -43 + 8 -7x = -43 + 8 Combine like terms: -43 + 8 = -35 -7x = -35 Divide each side by '-7'. x = 5 Simplifying x = 5
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