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Simplifying 6(x + -10) + 3(2x + -7) = -45 Reorder the terms: 6(-10 + x) + 3(2x + -7) = -45 (-10 * 6 + x * 6) + 3(2x + -7) = -45 (-60 + 6x) + 3(2x + -7) = -45 Reorder the terms: -60 + 6x + 3(-7 + 2x) = -45 -60 + 6x + (-7 * 3 + 2x * 3) = -45 -60 + 6x + (-21 + 6x) = -45 Reorder the terms: -60 + -21 + 6x + 6x = -45 Combine like terms: -60 + -21 = -81 -81 + 6x + 6x = -45 Combine like terms: 6x + 6x = 12x -81 + 12x = -45 Solving -81 + 12x = -45 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '81' to each side of the equation. -81 + 81 + 12x = -45 + 81 Combine like terms: -81 + 81 = 0 0 + 12x = -45 + 81 12x = -45 + 81 Combine like terms: -45 + 81 = 36 12x = 36 Divide each side by '12'. x = 3 Simplifying x = 3
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