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Simplifying 21 + 4x = -7 + 6(x + 3) Reorder the terms: 21 + 4x = -7 + 6(3 + x) 21 + 4x = -7 + (3 * 6 + x * 6) 21 + 4x = -7 + (18 + 6x) Combine like terms: -7 + 18 = 11 21 + 4x = 11 + 6x Solving 21 + 4x = 11 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 21 + 4x + -6x = 11 + 6x + -6x Combine like terms: 4x + -6x = -2x 21 + -2x = 11 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -2x = 11 + 0 21 + -2x = 11 Add '-21' to each side of the equation. 21 + -21 + -2x = 11 + -21 Combine like terms: 21 + -21 = 0 0 + -2x = 11 + -21 -2x = 11 + -21 Combine like terms: 11 + -21 = -10 -2x = -10 Divide each side by '-2'. x = 5 Simplifying x = 5
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