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Simplifying 3(2x + -4) + 5 = 4x + 11 Reorder the terms: 3(-4 + 2x) + 5 = 4x + 11 (-4 * 3 + 2x * 3) + 5 = 4x + 11 (-12 + 6x) + 5 = 4x + 11 Reorder the terms: -12 + 5 + 6x = 4x + 11 Combine like terms: -12 + 5 = -7 -7 + 6x = 4x + 11 Reorder the terms: -7 + 6x = 11 + 4x Solving -7 + 6x = 11 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -7 + 6x + -4x = 11 + 4x + -4x Combine like terms: 6x + -4x = 2x -7 + 2x = 11 + 4x + -4x Combine like terms: 4x + -4x = 0 -7 + 2x = 11 + 0 -7 + 2x = 11 Add '7' to each side of the equation. -7 + 7 + 2x = 11 + 7 Combine like terms: -7 + 7 = 0 0 + 2x = 11 + 7 2x = 11 + 7 Combine like terms: 11 + 7 = 18 2x = 18 Divide each side by '2'. x = 9 Simplifying x = 9
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