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Simplifying 2(x + -3) + -4x = 8 + -3(2x + -1) + 11 Reorder the terms: 2(-3 + x) + -4x = 8 + -3(2x + -1) + 11 (-3 * 2 + x * 2) + -4x = 8 + -3(2x + -1) + 11 (-6 + 2x) + -4x = 8 + -3(2x + -1) + 11 Combine like terms: 2x + -4x = -2x -6 + -2x = 8 + -3(2x + -1) + 11 Reorder the terms: -6 + -2x = 8 + -3(-1 + 2x) + 11 -6 + -2x = 8 + (-1 * -3 + 2x * -3) + 11 -6 + -2x = 8 + (3 + -6x) + 11 Reorder the terms: -6 + -2x = 8 + 3 + 11 + -6x Combine like terms: 8 + 3 = 11 -6 + -2x = 11 + 11 + -6x Combine like terms: 11 + 11 = 22 -6 + -2x = 22 + -6x Solving -6 + -2x = 22 + -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. -6 + -2x + 6x = 22 + -6x + 6x Combine like terms: -2x + 6x = 4x -6 + 4x = 22 + -6x + 6x Combine like terms: -6x + 6x = 0 -6 + 4x = 22 + 0 -6 + 4x = 22 Add '6' to each side of the equation. -6 + 6 + 4x = 22 + 6 Combine like terms: -6 + 6 = 0 0 + 4x = 22 + 6 4x = 22 + 6 Combine like terms: 22 + 6 = 28 4x = 28 Divide each side by '4'. x = 7 Simplifying x = 7
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