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Simplifying 3(2x + -4) + 1 = 2x + -1(3x + 2) + 12 Reorder the terms: 3(-4 + 2x) + 1 = 2x + -1(3x + 2) + 12 (-4 * 3 + 2x * 3) + 1 = 2x + -1(3x + 2) + 12 (-12 + 6x) + 1 = 2x + -1(3x + 2) + 12 Reorder the terms: -12 + 1 + 6x = 2x + -1(3x + 2) + 12 Combine like terms: -12 + 1 = -11 -11 + 6x = 2x + -1(3x + 2) + 12 Reorder the terms: -11 + 6x = 2x + -1(2 + 3x) + 12 -11 + 6x = 2x + (2 * -1 + 3x * -1) + 12 -11 + 6x = 2x + (-2 + -3x) + 12 Reorder the terms: -11 + 6x = -2 + 12 + 2x + -3x Combine like terms: -2 + 12 = 10 -11 + 6x = 10 + 2x + -3x Combine like terms: 2x + -3x = -1x -11 + 6x = 10 + -1x Solving -11 + 6x = 10 + -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. -11 + 6x + x = 10 + -1x + x Combine like terms: 6x + x = 7x -11 + 7x = 10 + -1x + x Combine like terms: -1x + x = 0 -11 + 7x = 10 + 0 -11 + 7x = 10 Add '11' to each side of the equation. -11 + 11 + 7x = 10 + 11 Combine like terms: -11 + 11 = 0 0 + 7x = 10 + 11 7x = 10 + 11 Combine like terms: 10 + 11 = 21 7x = 21 Divide each side by '7'. x = 3 Simplifying x = 3
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