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Simplifying 5x + 3(1 + x) = -21 + 2x 5x + (1 * 3 + x * 3) = -21 + 2x 5x + (3 + 3x) = -21 + 2x Reorder the terms: 3 + 5x + 3x = -21 + 2x Combine like terms: 5x + 3x = 8x 3 + 8x = -21 + 2x Solving 3 + 8x = -21 + 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. 3 + 8x + -2x = -21 + 2x + -2x Combine like terms: 8x + -2x = 6x 3 + 6x = -21 + 2x + -2x Combine like terms: 2x + -2x = 0 3 + 6x = -21 + 0 3 + 6x = -21 Add '-3' to each side of the equation. 3 + -3 + 6x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + 6x = -21 + -3 6x = -21 + -3 Combine like terms: -21 + -3 = -24 6x = -24 Divide each side by '6'. x = -4 Simplifying x = -4
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