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Simplifying 4x + 1 = 7(x + 3) Reorder the terms: 1 + 4x = 7(x + 3) Reorder the terms: 1 + 4x = 7(3 + x) 1 + 4x = (3 * 7 + x * 7) 1 + 4x = (21 + 7x) Solving 1 + 4x = 21 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 1 + 4x + -7x = 21 + 7x + -7x Combine like terms: 4x + -7x = -3x 1 + -3x = 21 + 7x + -7x Combine like terms: 7x + -7x = 0 1 + -3x = 21 + 0 1 + -3x = 21 Add '-1' to each side of the equation. 1 + -1 + -3x = 21 + -1 Combine like terms: 1 + -1 = 0 0 + -3x = 21 + -1 -3x = 21 + -1 Combine like terms: 21 + -1 = 20 -3x = 20 Divide each side by '-3'. x = -6.666666667 Simplifying x = -6.666666667
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