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Simplifying 7(2x + 3) = -23 + -1x + 5(2x + 1) Reorder the terms: 7(3 + 2x) = -23 + -1x + 5(2x + 1) (3 * 7 + 2x * 7) = -23 + -1x + 5(2x + 1) (21 + 14x) = -23 + -1x + 5(2x + 1) Reorder the terms: 21 + 14x = -23 + -1x + 5(1 + 2x) 21 + 14x = -23 + -1x + (1 * 5 + 2x * 5) 21 + 14x = -23 + -1x + (5 + 10x) Reorder the terms: 21 + 14x = -23 + 5 + -1x + 10x Combine like terms: -23 + 5 = -18 21 + 14x = -18 + -1x + 10x Combine like terms: -1x + 10x = 9x 21 + 14x = -18 + 9x Solving 21 + 14x = -18 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 21 + 14x + -9x = -18 + 9x + -9x Combine like terms: 14x + -9x = 5x 21 + 5x = -18 + 9x + -9x Combine like terms: 9x + -9x = 0 21 + 5x = -18 + 0 21 + 5x = -18 Add '-21' to each side of the equation. 21 + -21 + 5x = -18 + -21 Combine like terms: 21 + -21 = 0 0 + 5x = -18 + -21 5x = -18 + -21 Combine like terms: -18 + -21 = -39 5x = -39 Divide each side by '5'. x = -7.8 Simplifying x = -7.8
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