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Simplifying 5 + 4(x + 2) = 2(x + -7) + 1 Reorder the terms: 5 + 4(2 + x) = 2(x + -7) + 1 5 + (2 * 4 + x * 4) = 2(x + -7) + 1 5 + (8 + 4x) = 2(x + -7) + 1 Combine like terms: 5 + 8 = 13 13 + 4x = 2(x + -7) + 1 Reorder the terms: 13 + 4x = 2(-7 + x) + 1 13 + 4x = (-7 * 2 + x * 2) + 1 13 + 4x = (-14 + 2x) + 1 Reorder the terms: 13 + 4x = -14 + 1 + 2x Combine like terms: -14 + 1 = -13 13 + 4x = -13 + 2x Solving 13 + 4x = -13 + 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. 13 + 4x + -2x = -13 + 2x + -2x Combine like terms: 4x + -2x = 2x 13 + 2x = -13 + 2x + -2x Combine like terms: 2x + -2x = 0 13 + 2x = -13 + 0 13 + 2x = -13 Add '-13' to each side of the equation. 13 + -13 + 2x = -13 + -13 Combine like terms: 13 + -13 = 0 0 + 2x = -13 + -13 2x = -13 + -13 Combine like terms: -13 + -13 = -26 2x = -26 Divide each side by '2'. x = -13 Simplifying x = -13
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