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Simplifying 6(2 + -3(4 + -5x)) + -3(2x + -1) = 10x + -3 6(2 + (4 * -3 + -5x * -3)) + -3(2x + -1) = 10x + -3 6(2 + (-12 + 15x)) + -3(2x + -1) = 10x + -3 Combine like terms: 2 + -12 = -10 6(-10 + 15x) + -3(2x + -1) = 10x + -3 (-10 * 6 + 15x * 6) + -3(2x + -1) = 10x + -3 (-60 + 90x) + -3(2x + -1) = 10x + -3 Reorder the terms: -60 + 90x + -3(-1 + 2x) = 10x + -3 -60 + 90x + (-1 * -3 + 2x * -3) = 10x + -3 -60 + 90x + (3 + -6x) = 10x + -3 Reorder the terms: -60 + 3 + 90x + -6x = 10x + -3 Combine like terms: -60 + 3 = -57 -57 + 90x + -6x = 10x + -3 Combine like terms: 90x + -6x = 84x -57 + 84x = 10x + -3 Reorder the terms: -57 + 84x = -3 + 10x Solving -57 + 84x = -3 + 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. -57 + 84x + -10x = -3 + 10x + -10x Combine like terms: 84x + -10x = 74x -57 + 74x = -3 + 10x + -10x Combine like terms: 10x + -10x = 0 -57 + 74x = -3 + 0 -57 + 74x = -3 Add '57' to each side of the equation. -57 + 57 + 74x = -3 + 57 Combine like terms: -57 + 57 = 0 0 + 74x = -3 + 57 74x = -3 + 57 Combine like terms: -3 + 57 = 54 74x = 54 Divide each side by '74'. x = 0.7297297297 Simplifying x = 0.7297297297
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