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Simplifying -12 + x + -1(3x + 4) = 7x + -43 Reorder the terms: -12 + x + -1(4 + 3x) = 7x + -43 -12 + x + (4 * -1 + 3x * -1) = 7x + -43 -12 + x + (-4 + -3x) = 7x + -43 Reorder the terms: -12 + -4 + x + -3x = 7x + -43 Combine like terms: -12 + -4 = -16 -16 + x + -3x = 7x + -43 Combine like terms: x + -3x = -2x -16 + -2x = 7x + -43 Reorder the terms: -16 + -2x = -43 + 7x Solving -16 + -2x = -43 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -16 + -2x + -7x = -43 + 7x + -7x Combine like terms: -2x + -7x = -9x -16 + -9x = -43 + 7x + -7x Combine like terms: 7x + -7x = 0 -16 + -9x = -43 + 0 -16 + -9x = -43 Add '16' to each side of the equation. -16 + 16 + -9x = -43 + 16 Combine like terms: -16 + 16 = 0 0 + -9x = -43 + 16 -9x = -43 + 16 Combine like terms: -43 + 16 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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