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Simplifying 3(x + 4) + 6 = 16(x + 2) + 6 Reorder the terms: 3(4 + x) + 6 = 16(x + 2) + 6 (4 * 3 + x * 3) + 6 = 16(x + 2) + 6 (12 + 3x) + 6 = 16(x + 2) + 6 Reorder the terms: 12 + 6 + 3x = 16(x + 2) + 6 Combine like terms: 12 + 6 = 18 18 + 3x = 16(x + 2) + 6 Reorder the terms: 18 + 3x = 16(2 + x) + 6 18 + 3x = (2 * 16 + x * 16) + 6 18 + 3x = (32 + 16x) + 6 Reorder the terms: 18 + 3x = 32 + 6 + 16x Combine like terms: 32 + 6 = 38 18 + 3x = 38 + 16x Solving 18 + 3x = 38 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. 18 + 3x + -16x = 38 + 16x + -16x Combine like terms: 3x + -16x = -13x 18 + -13x = 38 + 16x + -16x Combine like terms: 16x + -16x = 0 18 + -13x = 38 + 0 18 + -13x = 38 Add '-18' to each side of the equation. 18 + -18 + -13x = 38 + -18 Combine like terms: 18 + -18 = 0 0 + -13x = 38 + -18 -13x = 38 + -18 Combine like terms: 38 + -18 = 20 -13x = 20 Divide each side by '-13'. x = -1.538461538 Simplifying x = -1.538461538
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