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Simplifying 5(x + -3) + 4(2x + 3) + -1(5x + 2) = 34 Reorder the terms: 5(-3 + x) + 4(2x + 3) + -1(5x + 2) = 34 (-3 * 5 + x * 5) + 4(2x + 3) + -1(5x + 2) = 34 (-15 + 5x) + 4(2x + 3) + -1(5x + 2) = 34 Reorder the terms: -15 + 5x + 4(3 + 2x) + -1(5x + 2) = 34 -15 + 5x + (3 * 4 + 2x * 4) + -1(5x + 2) = 34 -15 + 5x + (12 + 8x) + -1(5x + 2) = 34 Reorder the terms: -15 + 5x + 12 + 8x + -1(2 + 5x) = 34 -15 + 5x + 12 + 8x + (2 * -1 + 5x * -1) = 34 -15 + 5x + 12 + 8x + (-2 + -5x) = 34 Reorder the terms: -15 + 12 + -2 + 5x + 8x + -5x = 34 Combine like terms: -15 + 12 = -3 -3 + -2 + 5x + 8x + -5x = 34 Combine like terms: -3 + -2 = -5 -5 + 5x + 8x + -5x = 34 Combine like terms: 5x + 8x = 13x -5 + 13x + -5x = 34 Combine like terms: 13x + -5x = 8x -5 + 8x = 34 Solving -5 + 8x = 34 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5' to each side of the equation. -5 + 5 + 8x = 34 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 34 + 5 8x = 34 + 5 Combine like terms: 34 + 5 = 39 8x = 39 Divide each side by '8'. x = 4.875 Simplifying x = 4.875
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