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Simplifying 2(3x + -6) + 4x = 11 + -1x + 10 Reorder the terms: 2(-6 + 3x) + 4x = 11 + -1x + 10 (-6 * 2 + 3x * 2) + 4x = 11 + -1x + 10 (-12 + 6x) + 4x = 11 + -1x + 10 Combine like terms: 6x + 4x = 10x -12 + 10x = 11 + -1x + 10 Reorder the terms: -12 + 10x = 11 + 10 + -1x Combine like terms: 11 + 10 = 21 -12 + 10x = 21 + -1x Solving -12 + 10x = 21 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -12 + 10x + x = 21 + -1x + x Combine like terms: 10x + x = 11x -12 + 11x = 21 + -1x + x Combine like terms: -1x + x = 0 -12 + 11x = 21 + 0 -12 + 11x = 21 Add '12' to each side of the equation. -12 + 12 + 11x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 11x = 21 + 12 11x = 21 + 12 Combine like terms: 21 + 12 = 33 11x = 33 Divide each side by '11'. x = 3 Simplifying x = 3
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