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Simplifying 43 + -1(4x + 4) = 4(x + 3) + x Reorder the terms: 43 + -1(4 + 4x) = 4(x + 3) + x 43 + (4 * -1 + 4x * -1) = 4(x + 3) + x 43 + (-4 + -4x) = 4(x + 3) + x Combine like terms: 43 + -4 = 39 39 + -4x = 4(x + 3) + x Reorder the terms: 39 + -4x = 4(3 + x) + x 39 + -4x = (3 * 4 + x * 4) + x 39 + -4x = (12 + 4x) + x Combine like terms: 4x + x = 5x 39 + -4x = 12 + 5x Solving 39 + -4x = 12 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 39 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x 39 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 39 + -9x = 12 + 0 39 + -9x = 12 Add '-39' to each side of the equation. 39 + -39 + -9x = 12 + -39 Combine like terms: 39 + -39 = 0 0 + -9x = 12 + -39 -9x = 12 + -39 Combine like terms: 12 + -39 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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