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Simplifying 7(2x + 1) + -5x = 4x + -2 Reorder the terms: 7(1 + 2x) + -5x = 4x + -2 (1 * 7 + 2x * 7) + -5x = 4x + -2 (7 + 14x) + -5x = 4x + -2 Combine like terms: 14x + -5x = 9x 7 + 9x = 4x + -2 Reorder the terms: 7 + 9x = -2 + 4x Solving 7 + 9x = -2 + 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 + 9x + -4x = -2 + 4x + -4x Combine like terms: 9x + -4x = 5x 7 + 5x = -2 + 4x + -4x Combine like terms: 4x + -4x = 0 7 + 5x = -2 + 0 7 + 5x = -2 Add '-7' to each side of the equation. 7 + -7 + 5x = -2 + -7 Combine like terms: 7 + -7 = 0 0 + 5x = -2 + -7 5x = -2 + -7 Combine like terms: -2 + -7 = -9 5x = -9 Divide each side by '5'. x = -1.8 Simplifying x = -1.8
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