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Simplifying 3x + 23 = 4(1 + 4x) + 6 Reorder the terms: 23 + 3x = 4(1 + 4x) + 6 23 + 3x = (1 * 4 + 4x * 4) + 6 23 + 3x = (4 + 16x) + 6 Reorder the terms: 23 + 3x = 4 + 6 + 16x Combine like terms: 4 + 6 = 10 23 + 3x = 10 + 16x Solving 23 + 3x = 10 + 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. 23 + 3x + -16x = 10 + 16x + -16x Combine like terms: 3x + -16x = -13x 23 + -13x = 10 + 16x + -16x Combine like terms: 16x + -16x = 0 23 + -13x = 10 + 0 23 + -13x = 10 Add '-23' to each side of the equation. 23 + -23 + -13x = 10 + -23 Combine like terms: 23 + -23 = 0 0 + -13x = 10 + -23 -13x = 10 + -23 Combine like terms: 10 + -23 = -13 -13x = -13 Divide each side by '-13'. x = 1 Simplifying x = 1
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