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Simplifying 2y + 10 + 3x = -12 + -1x + -20 Reorder the terms: 10 + 3x + 2y = -12 + -1x + -20 Reorder the terms: 10 + 3x + 2y = -12 + -20 + -1x Combine like terms: -12 + -20 = -32 10 + 3x + 2y = -32 + -1x Solving 10 + 3x + 2y = -32 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 10 + 3x + x + 2y = -32 + -1x + x Combine like terms: 3x + x = 4x 10 + 4x + 2y = -32 + -1x + x Combine like terms: -1x + x = 0 10 + 4x + 2y = -32 + 0 10 + 4x + 2y = -32 Add '-10' to each side of the equation. 10 + 4x + -10 + 2y = -32 + -10 Reorder the terms: 10 + -10 + 4x + 2y = -32 + -10 Combine like terms: 10 + -10 = 0 0 + 4x + 2y = -32 + -10 4x + 2y = -32 + -10 Combine like terms: -32 + -10 = -42 4x + 2y = -42 Add '-2y' to each side of the equation. 4x + 2y + -2y = -42 + -2y Combine like terms: 2y + -2y = 0 4x + 0 = -42 + -2y 4x = -42 + -2y Divide each side by '4'. x = -10.5 + -0.5y Simplifying x = -10.5 + -0.5y
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