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