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Simplifying x + 2(x + 2) = 4(x + 4) + -54 Reorder the terms: x + 2(2 + x) = 4(x + 4) + -54 x + (2 * 2 + x * 2) = 4(x + 4) + -54 x + (4 + 2x) = 4(x + 4) + -54 Reorder the terms: 4 + x + 2x = 4(x + 4) + -54 Combine like terms: x + 2x = 3x 4 + 3x = 4(x + 4) + -54 Reorder the terms: 4 + 3x = 4(4 + x) + -54 4 + 3x = (4 * 4 + x * 4) + -54 4 + 3x = (16 + 4x) + -54 Reorder the terms: 4 + 3x = 16 + -54 + 4x Combine like terms: 16 + -54 = -38 4 + 3x = -38 + 4x Solving 4 + 3x = -38 + 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. 4 + 3x + -4x = -38 + 4x + -4x Combine like terms: 3x + -4x = -1x 4 + -1x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + -1x = -38 + 0 4 + -1x = -38 Add '-4' to each side of the equation. 4 + -4 + -1x = -38 + -4 Combine like terms: 4 + -4 = 0 0 + -1x = -38 + -4 -1x = -38 + -4 Combine like terms: -38 + -4 = -42 -1x = -42 Divide each side by '-1'. x = 42 Simplifying x = 42
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