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Simplifying -2x + 7 = 2(x + 13) + 1 Reorder the terms: 7 + -2x = 2(x + 13) + 1 Reorder the terms: 7 + -2x = 2(13 + x) + 1 7 + -2x = (13 * 2 + x * 2) + 1 7 + -2x = (26 + 2x) + 1 Reorder the terms: 7 + -2x = 26 + 1 + 2x Combine like terms: 26 + 1 = 27 7 + -2x = 27 + 2x Solving 7 + -2x = 27 + 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. 7 + -2x + -2x = 27 + 2x + -2x Combine like terms: -2x + -2x = -4x 7 + -4x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 7 + -4x = 27 + 0 7 + -4x = 27 Add '-7' to each side of the equation. 7 + -7 + -4x = 27 + -7 Combine like terms: 7 + -7 = 0 0 + -4x = 27 + -7 -4x = 27 + -7 Combine like terms: 27 + -7 = 20 -4x = 20 Divide each side by '-4'. x = -5 Simplifying x = -5
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