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Simplifying 14 + -43 = 4(x + -2) + -9 Combine like terms: 14 + -43 = -29 -29 = 4(x + -2) + -9 Reorder the terms: -29 = 4(-2 + x) + -9 -29 = (-2 * 4 + x * 4) + -9 -29 = (-8 + 4x) + -9 Reorder the terms: -29 = -8 + -9 + 4x Combine like terms: -8 + -9 = -17 -29 = -17 + 4x Solving -29 = -17 + 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. -29 + -4x = -17 + 4x + -4x Combine like terms: 4x + -4x = 0 -29 + -4x = -17 + 0 -29 + -4x = -17 Add '29' to each side of the equation. -29 + 29 + -4x = -17 + 29 Combine like terms: -29 + 29 = 0 0 + -4x = -17 + 29 -4x = -17 + 29 Combine like terms: -17 + 29 = 12 -4x = 12 Divide each side by '-4'. x = -3 Simplifying x = -3
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