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Simplifying 6(x + -2) + -3(5x + -2) = 3 Reorder the terms: 6(-2 + x) + -3(5x + -2) = 3 (-2 * 6 + x * 6) + -3(5x + -2) = 3 (-12 + 6x) + -3(5x + -2) = 3 Reorder the terms: -12 + 6x + -3(-2 + 5x) = 3 -12 + 6x + (-2 * -3 + 5x * -3) = 3 -12 + 6x + (6 + -15x) = 3 Reorder the terms: -12 + 6 + 6x + -15x = 3 Combine like terms: -12 + 6 = -6 -6 + 6x + -15x = 3 Combine like terms: 6x + -15x = -9x -6 + -9x = 3 Solving -6 + -9x = 3 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -9x = 3 + 6 Combine like terms: -6 + 6 = 0 0 + -9x = 3 + 6 -9x = 3 + 6 Combine like terms: 3 + 6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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