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Simplifying 4x + 1 = 2(x + -7) Reorder the terms: 1 + 4x = 2(x + -7) Reorder the terms: 1 + 4x = 2(-7 + x) 1 + 4x = (-7 * 2 + x * 2) 1 + 4x = (-14 + 2x) Solving 1 + 4x = -14 + 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. 1 + 4x + -2x = -14 + 2x + -2x Combine like terms: 4x + -2x = 2x 1 + 2x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 1 + 2x = -14 + 0 1 + 2x = -14 Add '-1' to each side of the equation. 1 + -1 + 2x = -14 + -1 Combine like terms: 1 + -1 = 0 0 + 2x = -14 + -1 2x = -14 + -1 Combine like terms: -14 + -1 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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