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Simplifying 5 + -3x = 21(x + 1) Reorder the terms: 5 + -3x = 21(1 + x) 5 + -3x = (1 * 21 + x * 21) 5 + -3x = (21 + 21x) Solving 5 + -3x = 21 + 21x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-21x' to each side of the equation. 5 + -3x + -21x = 21 + 21x + -21x Combine like terms: -3x + -21x = -24x 5 + -24x = 21 + 21x + -21x Combine like terms: 21x + -21x = 0 5 + -24x = 21 + 0 5 + -24x = 21 Add '-5' to each side of the equation. 5 + -5 + -24x = 21 + -5 Combine like terms: 5 + -5 = 0 0 + -24x = 21 + -5 -24x = 21 + -5 Combine like terms: 21 + -5 = 16 -24x = 16 Divide each side by '-24'. x = -0.6666666667 Simplifying x = -0.6666666667
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