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Simplifying 0.5(4x + -3) + 4(6x + 1) = 43 Reorder the terms: 0.5(-3 + 4x) + 4(6x + 1) = 43 (-3 * 0.5 + 4x * 0.5) + 4(6x + 1) = 43 (-1.5 + 2x) + 4(6x + 1) = 43 Reorder the terms: -1.5 + 2x + 4(1 + 6x) = 43 -1.5 + 2x + (1 * 4 + 6x * 4) = 43 -1.5 + 2x + (4 + 24x) = 43 Reorder the terms: -1.5 + 4 + 2x + 24x = 43 Combine like terms: -1.5 + 4 = 2.5 2.5 + 2x + 24x = 43 Combine like terms: 2x + 24x = 26x 2.5 + 26x = 43 Solving 2.5 + 26x = 43 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5' to each side of the equation. 2.5 + -2.5 + 26x = 43 + -2.5 Combine like terms: 2.5 + -2.5 = 0.0 0.0 + 26x = 43 + -2.5 26x = 43 + -2.5 Combine like terms: 43 + -2.5 = 40.5 26x = 40.5 Divide each side by '26'. x = 1.557692308 Simplifying x = 1.557692308
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