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Simplifying 2(3x + -1) + 4(x + -2) = 7x + 11 Reorder the terms: 2(-1 + 3x) + 4(x + -2) = 7x + 11 (-1 * 2 + 3x * 2) + 4(x + -2) = 7x + 11 (-2 + 6x) + 4(x + -2) = 7x + 11 Reorder the terms: -2 + 6x + 4(-2 + x) = 7x + 11 -2 + 6x + (-2 * 4 + x * 4) = 7x + 11 -2 + 6x + (-8 + 4x) = 7x + 11 Reorder the terms: -2 + -8 + 6x + 4x = 7x + 11 Combine like terms: -2 + -8 = -10 -10 + 6x + 4x = 7x + 11 Combine like terms: 6x + 4x = 10x -10 + 10x = 7x + 11 Reorder the terms: -10 + 10x = 11 + 7x Solving -10 + 10x = 11 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -10 + 10x + -7x = 11 + 7x + -7x Combine like terms: 10x + -7x = 3x -10 + 3x = 11 + 7x + -7x Combine like terms: 7x + -7x = 0 -10 + 3x = 11 + 0 -10 + 3x = 11 Add '10' to each side of the equation. -10 + 10 + 3x = 11 + 10 Combine like terms: -10 + 10 = 0 0 + 3x = 11 + 10 3x = 11 + 10 Combine like terms: 11 + 10 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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