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Simplifying 5(2x + 1) + 8(3x + -2) = 0 Reorder the terms: 5(1 + 2x) + 8(3x + -2) = 0 (1 * 5 + 2x * 5) + 8(3x + -2) = 0 (5 + 10x) + 8(3x + -2) = 0 Reorder the terms: 5 + 10x + 8(-2 + 3x) = 0 5 + 10x + (-2 * 8 + 3x * 8) = 0 5 + 10x + (-16 + 24x) = 0 Reorder the terms: 5 + -16 + 10x + 24x = 0 Combine like terms: 5 + -16 = -11 -11 + 10x + 24x = 0 Combine like terms: 10x + 24x = 34x -11 + 34x = 0 Solving -11 + 34x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 34x = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 34x = 0 + 11 34x = 0 + 11 Combine like terms: 0 + 11 = 11 34x = 11 Divide each side by '34'. x = 0.3235294118 Simplifying x = 0.3235294118
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