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Simplifying x + -43 = 4(2x + 3) + -6 Reorder the terms: -43 + x = 4(2x + 3) + -6 Reorder the terms: -43 + x = 4(3 + 2x) + -6 -43 + x = (3 * 4 + 2x * 4) + -6 -43 + x = (12 + 8x) + -6 Reorder the terms: -43 + x = 12 + -6 + 8x Combine like terms: 12 + -6 = 6 -43 + x = 6 + 8x Solving -43 + x = 6 + 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 = 6 + 8x + -8x Combine like terms: x + -8x = -7x -43 + -7x = 6 + 8x + -8x Combine like terms: 8x + -8x = 0 -43 + -7x = 6 + 0 -43 + -7x = 6 Add '43' to each side of the equation. -43 + 43 + -7x = 6 + 43 Combine like terms: -43 + 43 = 0 0 + -7x = 6 + 43 -7x = 6 + 43 Combine like terms: 6 + 43 = 49 -7x = 49 Divide each side by '-7'. x = -7 Simplifying x = -7
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