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Simplifying 6x + -3(5x + 4) + -2(7x + -3) = -6 Reorder the terms: 6x + -3(4 + 5x) + -2(7x + -3) = -6 6x + (4 * -3 + 5x * -3) + -2(7x + -3) = -6 6x + (-12 + -15x) + -2(7x + -3) = -6 Reorder the terms: 6x + -12 + -15x + -2(-3 + 7x) = -6 6x + -12 + -15x + (-3 * -2 + 7x * -2) = -6 6x + -12 + -15x + (6 + -14x) = -6 Reorder the terms: -12 + 6 + 6x + -15x + -14x = -6 Combine like terms: -12 + 6 = -6 -6 + 6x + -15x + -14x = -6 Combine like terms: 6x + -15x = -9x -6 + -9x + -14x = -6 Combine like terms: -9x + -14x = -23x -6 + -23x = -6 Add '6' to each side of the equation. -6 + 6 + -23x = -6 + 6 Combine like terms: -6 + 6 = 0 0 + -23x = -6 + 6 -23x = -6 + 6 Combine like terms: -6 + 6 = 0 -23x = 0 Solving -23x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Divide each side by '-23'. x = 0 Simplifying x = 0
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