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Simplifying x + -43 = 4(2x + -2) Reorder the terms: -43 + x = 4(2x + -2) Reorder the terms: -43 + x = 4(-2 + 2x) -43 + x = (-2 * 4 + 2x * 4) -43 + x = (-8 + 8x) Solving -43 + x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -43 + x + -8x = -8 + 8x + -8x Combine like terms: x + -8x = -7x -43 + -7x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 -43 + -7x = -8 + 0 -43 + -7x = -8 Add '43' to each side of the equation. -43 + 43 + -7x = -8 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = -8 + 43 -7x = -8 + 43 Combine like terms: -8 + 43 = 35 -7x = 35 Divide each side by '-7'. x = -5 Simplifying x = -5
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