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Simplifying 2(x + -3) + 6x = 5(x + 4) + -11 Reorder the terms: 2(-3 + x) + 6x = 5(x + 4) + -11 (-3 * 2 + x * 2) + 6x = 5(x + 4) + -11 (-6 + 2x) + 6x = 5(x + 4) + -11 Combine like terms: 2x + 6x = 8x -6 + 8x = 5(x + 4) + -11 Reorder the terms: -6 + 8x = 5(4 + x) + -11 -6 + 8x = (4 * 5 + x * 5) + -11 -6 + 8x = (20 + 5x) + -11 Reorder the terms: -6 + 8x = 20 + -11 + 5x Combine like terms: 20 + -11 = 9 -6 + 8x = 9 + 5x Solving -6 + 8x = 9 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 8x + -5x = 9 + 5x + -5x Combine like terms: 8x + -5x = 3x -6 + 3x = 9 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + 3x = 9 + 0 -6 + 3x = 9 Add '6' to each side of the equation. -6 + 6 + 3x = 9 + 6 Combine like terms: -6 + 6 = 0 0 + 3x = 9 + 6 3x = 9 + 6 Combine like terms: 9 + 6 = 15 3x = 15 Divide each side by '3'. x = 5 Simplifying x = 5
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