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Simplifying -3(x + -6) + 5(8 + -6x) = 0 Reorder the terms: -3(-6 + x) + 5(8 + -6x) = 0 (-6 * -3 + x * -3) + 5(8 + -6x) = 0 (18 + -3x) + 5(8 + -6x) = 0 18 + -3x + (8 * 5 + -6x * 5) = 0 18 + -3x + (40 + -30x) = 0 Reorder the terms: 18 + 40 + -3x + -30x = 0 Combine like terms: 18 + 40 = 58 58 + -3x + -30x = 0 Combine like terms: -3x + -30x = -33x 58 + -33x = 0 Solving 58 + -33x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-58' to each side of the equation. 58 + -58 + -33x = 0 + -58 Combine like terms: 58 + -58 = 0 0 + -33x = 0 + -58 -33x = 0 + -58 Combine like terms: 0 + -58 = -58 -33x = -58 Divide each side by '-33'. x = 1.757575758 Simplifying x = 1.757575758
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