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Simplifying 4(3x + -3) + -2(3x + -5) = 7 Reorder the terms: 4(-3 + 3x) + -2(3x + -5) = 7 (-3 * 4 + 3x * 4) + -2(3x + -5) = 7 (-12 + 12x) + -2(3x + -5) = 7 Reorder the terms: -12 + 12x + -2(-5 + 3x) = 7 -12 + 12x + (-5 * -2 + 3x * -2) = 7 -12 + 12x + (10 + -6x) = 7 Reorder the terms: -12 + 10 + 12x + -6x = 7 Combine like terms: -12 + 10 = -2 -2 + 12x + -6x = 7 Combine like terms: 12x + -6x = 6x -2 + 6x = 7 Solving -2 + 6x = 7 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 + 6x = 7 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 7 + 2 6x = 7 + 2 Combine like terms: 7 + 2 = 9 6x = 9 Divide each side by '6'. x = 1.5 Simplifying x = 1.5
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