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Simplifying 4x + 7 = 3(x + 4) + 1 Reorder the terms: 7 + 4x = 3(x + 4) + 1 Reorder the terms: 7 + 4x = 3(4 + x) + 1 7 + 4x = (4 * 3 + x * 3) + 1 7 + 4x = (12 + 3x) + 1 Reorder the terms: 7 + 4x = 12 + 1 + 3x Combine like terms: 12 + 1 = 13 7 + 4x = 13 + 3x Solving 7 + 4x = 13 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 7 + 4x + -3x = 13 + 3x + -3x Combine like terms: 4x + -3x = 1x 7 + 1x = 13 + 3x + -3x Combine like terms: 3x + -3x = 0 7 + 1x = 13 + 0 7 + 1x = 13 Add '-7' to each side of the equation. 7 + -7 + 1x = 13 + -7 Combine like terms: 7 + -7 = 0 0 + 1x = 13 + -7 1x = 13 + -7 Combine like terms: 13 + -7 = 6 1x = 6 Divide each side by '1'. x = 6 Simplifying x = 6
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