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Simplifying 43 + -1(4x + 13) = 4(x + 3) + x Reorder the terms: 43 + -1(13 + 4x) = 4(x + 3) + x 43 + (13 * -1 + 4x * -1) = 4(x + 3) + x 43 + (-13 + -4x) = 4(x + 3) + x Combine like terms: 43 + -13 = 30 30 + -4x = 4(x + 3) + x Reorder the terms: 30 + -4x = 4(3 + x) + x 30 + -4x = (3 * 4 + x * 4) + x 30 + -4x = (12 + 4x) + x Combine like terms: 4x + x = 5x 30 + -4x = 12 + 5x Solving 30 + -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. 30 + -4x + -5x = 12 + 5x + -5x Combine like terms: -4x + -5x = -9x 30 + -9x = 12 + 5x + -5x Combine like terms: 5x + -5x = 0 30 + -9x = 12 + 0 30 + -9x = 12 Add '-30' to each side of the equation. 30 + -30 + -9x = 12 + -30 Combine like terms: 30 + -30 = 0 0 + -9x = 12 + -30 -9x = 12 + -30 Combine like terms: 12 + -30 = -18 -9x = -18 Divide each side by '-9'. x = 2 Simplifying x = 2
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