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Simplifying 2(5x + 4) + -1 = 4x + -23 Reorder the terms: 2(4 + 5x) + -1 = 4x + -23 (4 * 2 + 5x * 2) + -1 = 4x + -23 (8 + 10x) + -1 = 4x + -23 Reorder the terms: 8 + -1 + 10x = 4x + -23 Combine like terms: 8 + -1 = 7 7 + 10x = 4x + -23 Reorder the terms: 7 + 10x = -23 + 4x Solving 7 + 10x = -23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 7 + 10x + -4x = -23 + 4x + -4x Combine like terms: 10x + -4x = 6x 7 + 6x = -23 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 6x = -23 + 0 7 + 6x = -23 Add '-7' to each side of the equation. 7 + -7 + 6x = -23 + -7 Combine like terms: 7 + -7 = 0 0 + 6x = -23 + -7 6x = -23 + -7 Combine like terms: -23 + -7 = -30 6x = -30 Divide each side by '6'. x = -5 Simplifying x = -5
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