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Simplifying 2x + 5 = 7(x + -2) + 1 Reorder the terms: 5 + 2x = 7(x + -2) + 1 Reorder the terms: 5 + 2x = 7(-2 + x) + 1 5 + 2x = (-2 * 7 + x * 7) + 1 5 + 2x = (-14 + 7x) + 1 Reorder the terms: 5 + 2x = -14 + 1 + 7x Combine like terms: -14 + 1 = -13 5 + 2x = -13 + 7x Solving 5 + 2x = -13 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 5 + 2x + -7x = -13 + 7x + -7x Combine like terms: 2x + -7x = -5x 5 + -5x = -13 + 7x + -7x Combine like terms: 7x + -7x = 0 5 + -5x = -13 + 0 5 + -5x = -13 Add '-5' to each side of the equation. 5 + -5 + -5x = -13 + -5 Combine like terms: 5 + -5 = 0 0 + -5x = -13 + -5 -5x = -13 + -5 Combine like terms: -13 + -5 = -18 -5x = -18 Divide each side by '-5'. x = 3.6 Simplifying x = 3.6
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