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Simplifying 4(2x + -1) + 3(x + 4) = 52 Reorder the terms: 4(-1 + 2x) + 3(x + 4) = 52 (-1 * 4 + 2x * 4) + 3(x + 4) = 52 (-4 + 8x) + 3(x + 4) = 52 Reorder the terms: -4 + 8x + 3(4 + x) = 52 -4 + 8x + (4 * 3 + x * 3) = 52 -4 + 8x + (12 + 3x) = 52 Reorder the terms: -4 + 12 + 8x + 3x = 52 Combine like terms: -4 + 12 = 8 8 + 8x + 3x = 52 Combine like terms: 8x + 3x = 11x 8 + 11x = 52 Solving 8 + 11x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 11x = 52 + -8 Combine like terms: 8 + -8 = 0 0 + 11x = 52 + -8 11x = 52 + -8 Combine like terms: 52 + -8 = 44 11x = 44 Divide each side by '11'. x = 4 Simplifying x = 4
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