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Simplifying 4(x + 3y + 5) + 2(x + -1) = 0 Reorder the terms: 4(5 + x + 3y) + 2(x + -1) = 0 (5 * 4 + x * 4 + 3y * 4) + 2(x + -1) = 0 (20 + 4x + 12y) + 2(x + -1) = 0 Reorder the terms: 20 + 4x + 12y + 2(-1 + x) = 0 20 + 4x + 12y + (-1 * 2 + x * 2) = 0 20 + 4x + 12y + (-2 + 2x) = 0 Reorder the terms: 20 + -2 + 4x + 2x + 12y = 0 Combine like terms: 20 + -2 = 18 18 + 4x + 2x + 12y = 0 Combine like terms: 4x + 2x = 6x 18 + 6x + 12y = 0 Solving 18 + 6x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 6x + -18 + 12y = 0 + -18 Reorder the terms: 18 + -18 + 6x + 12y = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 6x + 12y = 0 + -18 6x + 12y = 0 + -18 Combine like terms: 0 + -18 = -18 6x + 12y = -18 Add '-12y' to each side of the equation. 6x + 12y + -12y = -18 + -12y Combine like terms: 12y + -12y = 0 6x + 0 = -18 + -12y 6x = -18 + -12y Divide each side by '6'. x = -3 + -2y Simplifying x = -3 + -2y
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