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Simplifying 4(x + -1y) + 3 = 2x + -5 (x * 4 + -1y * 4) + 3 = 2x + -5 (4x + -4y) + 3 = 2x + -5 Reorder the terms: 3 + 4x + -4y = 2x + -5 Reorder the terms: 3 + 4x + -4y = -5 + 2x Solving 3 + 4x + -4y = -5 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 3 + 4x + -2x + -4y = -5 + 2x + -2x Combine like terms: 4x + -2x = 2x 3 + 2x + -4y = -5 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 2x + -4y = -5 + 0 3 + 2x + -4y = -5 Add '-3' to each side of the equation. 3 + 2x + -3 + -4y = -5 + -3 Reorder the terms: 3 + -3 + 2x + -4y = -5 + -3 Combine like terms: 3 + -3 = 0 0 + 2x + -4y = -5 + -3 2x + -4y = -5 + -3 Combine like terms: -5 + -3 = -8 2x + -4y = -8 Add '4y' to each side of the equation. 2x + -4y + 4y = -8 + 4y Combine like terms: -4y + 4y = 0 2x + 0 = -8 + 4y 2x = -8 + 4y Divide each side by '2'. x = -4 + 2y Simplifying x = -4 + 2y
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