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Simplifying 10x + 4y + -2(x + 1) = 2(3x + 2y) Reorder the terms: 10x + 4y + -2(1 + x) = 2(3x + 2y) 10x + 4y + (1 * -2 + x * -2) = 2(3x + 2y) 10x + 4y + (-2 + -2x) = 2(3x + 2y) Reorder the terms: -2 + 10x + -2x + 4y = 2(3x + 2y) Combine like terms: 10x + -2x = 8x -2 + 8x + 4y = 2(3x + 2y) -2 + 8x + 4y = (3x * 2 + 2y * 2) -2 + 8x + 4y = (6x + 4y) Add '-4y' to each side of the equation. -2 + 8x + 4y + -4y = 6x + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 8x + 0 = 6x + 4y + -4y -2 + 8x = 6x + 4y + -4y Combine like terms: 4y + -4y = 0 -2 + 8x = 6x + 0 -2 + 8x = 6x Solving -2 + 8x = 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -2 + 8x + -6x = 6x + -6x Combine like terms: 8x + -6x = 2x -2 + 2x = 6x + -6x Combine like terms: 6x + -6x = 0 -2 + 2x = 0 Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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