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Simplifying 4 + 3(x + 1) = 4x + 6 Reorder the terms: 4 + 3(1 + x) = 4x + 6 4 + (1 * 3 + x * 3) = 4x + 6 4 + (3 + 3x) = 4x + 6 Combine like terms: 4 + 3 = 7 7 + 3x = 4x + 6 Reorder the terms: 7 + 3x = 6 + 4x Solving 7 + 3x = 6 + 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 + 3x + -4x = 6 + 4x + -4x Combine like terms: 3x + -4x = -1x 7 + -1x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + -1x = 6 + 0 7 + -1x = 6 Add '-7' to each side of the equation. 7 + -7 + -1x = 6 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = 6 + -7 -1x = 6 + -7 Combine like terms: 6 + -7 = -1 -1x = -1 Divide each side by '-1'. x = 1 Simplifying x = 1
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