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Simplifying -1(34x + 3) + 4(6x + 1) = 43 Reorder the terms: -1(3 + 34x) + 4(6x + 1) = 43 (3 * -1 + 34x * -1) + 4(6x + 1) = 43 (-3 + -34x) + 4(6x + 1) = 43 Reorder the terms: -3 + -34x + 4(1 + 6x) = 43 -3 + -34x + (1 * 4 + 6x * 4) = 43 -3 + -34x + (4 + 24x) = 43 Reorder the terms: -3 + 4 + -34x + 24x = 43 Combine like terms: -3 + 4 = 1 1 + -34x + 24x = 43 Combine like terms: -34x + 24x = -10x 1 + -10x = 43 Solving 1 + -10x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + -1 + -10x = 43 + -1 Combine like terms: 1 + -1 = 0 0 + -10x = 43 + -1 -10x = 43 + -1 Combine like terms: 43 + -1 = 42 -10x = 42 Divide each side by '-10'. x = -4.2 Simplifying x = -4.2
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