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Simplifying (4x + 1) + (-13) = 2(4x + 1) + -13 Reorder the terms: (1 + 4x) + (-13) = 2(4x + 1) + -13 Remove parenthesis around (1 + 4x) 1 + 4x + (-13) = 2(4x + 1) + -13 1 + 4x + -13 = 2(4x + 1) + -13 Reorder the terms: 1 + -13 + 4x = 2(4x + 1) + -13 Combine like terms: 1 + -13 = -12 -12 + 4x = 2(4x + 1) + -13 Reorder the terms: -12 + 4x = 2(1 + 4x) + -13 -12 + 4x = (1 * 2 + 4x * 2) + -13 -12 + 4x = (2 + 8x) + -13 Reorder the terms: -12 + 4x = 2 + -13 + 8x Combine like terms: 2 + -13 = -11 -12 + 4x = -11 + 8x Solving -12 + 4x = -11 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -12 + 4x + -8x = -11 + 8x + -8x Combine like terms: 4x + -8x = -4x -12 + -4x = -11 + 8x + -8x Combine like terms: 8x + -8x = 0 -12 + -4x = -11 + 0 -12 + -4x = -11 Add '12' to each side of the equation. -12 + 12 + -4x = -11 + 12 Combine like terms: -12 + 12 = 0 0 + -4x = -11 + 12 -4x = -11 + 12 Combine like terms: -11 + 12 = 1 -4x = 1 Divide each side by '-4'. x = -0.25 Simplifying x = -0.25
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