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Simplifying 4(3x + -3) + 3(2x + 2) = 2x + 50 Reorder the terms: 4(-3 + 3x) + 3(2x + 2) = 2x + 50 (-3 * 4 + 3x * 4) + 3(2x + 2) = 2x + 50 (-12 + 12x) + 3(2x + 2) = 2x + 50 Reorder the terms: -12 + 12x + 3(2 + 2x) = 2x + 50 -12 + 12x + (2 * 3 + 2x * 3) = 2x + 50 -12 + 12x + (6 + 6x) = 2x + 50 Reorder the terms: -12 + 6 + 12x + 6x = 2x + 50 Combine like terms: -12 + 6 = -6 -6 + 12x + 6x = 2x + 50 Combine like terms: 12x + 6x = 18x -6 + 18x = 2x + 50 Reorder the terms: -6 + 18x = 50 + 2x Solving -6 + 18x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -6 + 18x + -2x = 50 + 2x + -2x Combine like terms: 18x + -2x = 16x -6 + 16x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 -6 + 16x = 50 + 0 -6 + 16x = 50 Add '6' to each side of the equation. -6 + 6 + 16x = 50 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 50 + 6 16x = 50 + 6 Combine like terms: 50 + 6 = 56 16x = 56 Divide each side by '16'. x = 3.5 Simplifying x = 3.5
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