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Simplifying 3(3x + 4y + 5) + 2(2x + -4y + -3) = z Reorder the terms: 3(5 + 3x + 4y) + 2(2x + -4y + -3) = z (5 * 3 + 3x * 3 + 4y * 3) + 2(2x + -4y + -3) = z (15 + 9x + 12y) + 2(2x + -4y + -3) = z Reorder the terms: 15 + 9x + 12y + 2(-3 + 2x + -4y) = z 15 + 9x + 12y + (-3 * 2 + 2x * 2 + -4y * 2) = z 15 + 9x + 12y + (-6 + 4x + -8y) = z Reorder the terms: 15 + -6 + 9x + 4x + 12y + -8y = z Combine like terms: 15 + -6 = 9 9 + 9x + 4x + 12y + -8y = z Combine like terms: 9x + 4x = 13x 9 + 13x + 12y + -8y = z Combine like terms: 12y + -8y = 4y 9 + 13x + 4y = z Solving 9 + 13x + 4y = z Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + 13x + -9 + 4y = -9 + z Reorder the terms: 9 + -9 + 13x + 4y = -9 + z Combine like terms: 9 + -9 = 0 0 + 13x + 4y = -9 + z 13x + 4y = -9 + z Add '-4y' to each side of the equation. 13x + 4y + -4y = -9 + -4y + z Combine like terms: 4y + -4y = 0 13x + 0 = -9 + -4y + z 13x = -9 + -4y + z Divide each side by '13'. x = -0.6923076923 + -0.3076923077y + 0.07692307692z Simplifying x = -0.6923076923 + -0.3076923077y + 0.07692307692z
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