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Simplifying 5 * 2x + y + 10 = 6 * 3x + 3y Multiply 5 * 2 10x + y + 10 = 6 * 3x + 3y Reorder the terms: 10 + 10x + y = 6 * 3x + 3y Multiply 6 * 3 10 + 10x + y = 18x + 3y Solving 10 + 10x + y = 18x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 10 + 10x + -18x + y = 18x + -18x + 3y Combine like terms: 10x + -18x = -8x 10 + -8x + y = 18x + -18x + 3y Combine like terms: 18x + -18x = 0 10 + -8x + y = 0 + 3y 10 + -8x + y = 3y Add '-10' to each side of the equation. 10 + -8x + -10 + y = -10 + 3y Reorder the terms: 10 + -10 + -8x + y = -10 + 3y Combine like terms: 10 + -10 = 0 0 + -8x + y = -10 + 3y -8x + y = -10 + 3y Add '-1y' to each side of the equation. -8x + y + -1y = -10 + 3y + -1y Combine like terms: y + -1y = 0 -8x + 0 = -10 + 3y + -1y -8x = -10 + 3y + -1y Combine like terms: 3y + -1y = 2y -8x = -10 + 2y Divide each side by '-8'. x = 1.25 + -0.25y Simplifying x = 1.25 + -0.25y
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