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Simplifying 4(2x + -3) + -5(3x + -2) = 12 Reorder the terms: 4(-3 + 2x) + -5(3x + -2) = 12 (-3 * 4 + 2x * 4) + -5(3x + -2) = 12 (-12 + 8x) + -5(3x + -2) = 12 Reorder the terms: -12 + 8x + -5(-2 + 3x) = 12 -12 + 8x + (-2 * -5 + 3x * -5) = 12 -12 + 8x + (10 + -15x) = 12 Reorder the terms: -12 + 10 + 8x + -15x = 12 Combine like terms: -12 + 10 = -2 -2 + 8x + -15x = 12 Combine like terms: 8x + -15x = -7x -2 + -7x = 12 Solving -2 + -7x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + -7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + -7x = 12 + 2 -7x = 12 + 2 Combine like terms: 12 + 2 = 14 -7x = 14 Divide each side by '-7'. x = -2 Simplifying x = -2
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