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Simplifying 6x + 15 + -9x + -6y + -4x + 38 = 23 Reorder the terms: 15 + 38 + 6x + -9x + -4x + -6y = 23 Combine like terms: 15 + 38 = 53 53 + 6x + -9x + -4x + -6y = 23 Combine like terms: 6x + -9x = -3x 53 + -3x + -4x + -6y = 23 Combine like terms: -3x + -4x = -7x 53 + -7x + -6y = 23 Solving 53 + -7x + -6y = 23 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53' to each side of the equation. 53 + -7x + -53 + -6y = 23 + -53 Reorder the terms: 53 + -53 + -7x + -6y = 23 + -53 Combine like terms: 53 + -53 = 0 0 + -7x + -6y = 23 + -53 -7x + -6y = 23 + -53 Combine like terms: 23 + -53 = -30 -7x + -6y = -30 Add '6y' to each side of the equation. -7x + -6y + 6y = -30 + 6y Combine like terms: -6y + 6y = 0 -7x + 0 = -30 + 6y -7x = -30 + 6y Divide each side by '-7'. x = 4.285714286 + -0.8571428571y Simplifying x = 4.285714286 + -0.8571428571y
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