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Simplifying 10 + 2x + -15y = 3x + 5 Reorder the terms: 10 + 2x + -15y = 5 + 3x Solving 10 + 2x + -15y = 5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 10 + 2x + -3x + -15y = 5 + 3x + -3x Combine like terms: 2x + -3x = -1x 10 + -1x + -15y = 5 + 3x + -3x Combine like terms: 3x + -3x = 0 10 + -1x + -15y = 5 + 0 10 + -1x + -15y = 5 Add '-10' to each side of the equation. 10 + -1x + -10 + -15y = 5 + -10 Reorder the terms: 10 + -10 + -1x + -15y = 5 + -10 Combine like terms: 10 + -10 = 0 0 + -1x + -15y = 5 + -10 -1x + -15y = 5 + -10 Combine like terms: 5 + -10 = -5 -1x + -15y = -5 Add '15y' to each side of the equation. -1x + -15y + 15y = -5 + 15y Combine like terms: -15y + 15y = 0 -1x + 0 = -5 + 15y -1x = -5 + 15y Divide each side by '-1'. x = 5 + -15y Simplifying x = 5 + -15y
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