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Simplifying 6(2x + -5) + 5(3x + 8) = 10x + 78 Reorder the terms: 6(-5 + 2x) + 5(3x + 8) = 10x + 78 (-5 * 6 + 2x * 6) + 5(3x + 8) = 10x + 78 (-30 + 12x) + 5(3x + 8) = 10x + 78 Reorder the terms: -30 + 12x + 5(8 + 3x) = 10x + 78 -30 + 12x + (8 * 5 + 3x * 5) = 10x + 78 -30 + 12x + (40 + 15x) = 10x + 78 Reorder the terms: -30 + 40 + 12x + 15x = 10x + 78 Combine like terms: -30 + 40 = 10 10 + 12x + 15x = 10x + 78 Combine like terms: 12x + 15x = 27x 10 + 27x = 10x + 78 Reorder the terms: 10 + 27x = 78 + 10x Solving 10 + 27x = 78 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 10 + 27x + -10x = 78 + 10x + -10x Combine like terms: 27x + -10x = 17x 10 + 17x = 78 + 10x + -10x Combine like terms: 10x + -10x = 0 10 + 17x = 78 + 0 10 + 17x = 78 Add '-10' to each side of the equation. 10 + -10 + 17x = 78 + -10 Combine like terms: 10 + -10 = 0 0 + 17x = 78 + -10 17x = 78 + -10 Combine like terms: 78 + -10 = 68 17x = 68 Divide each side by '17'. x = 4 Simplifying x = 4
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