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Simplifying 2(x + -12) + 13 = 4x + 17 Reorder the terms: 2(-12 + x) + 13 = 4x + 17 (-12 * 2 + x * 2) + 13 = 4x + 17 (-24 + 2x) + 13 = 4x + 17 Reorder the terms: -24 + 13 + 2x = 4x + 17 Combine like terms: -24 + 13 = -11 -11 + 2x = 4x + 17 Reorder the terms: -11 + 2x = 17 + 4x Solving -11 + 2x = 17 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -11 + 2x + -4x = 17 + 4x + -4x Combine like terms: 2x + -4x = -2x -11 + -2x = 17 + 4x + -4x Combine like terms: 4x + -4x = 0 -11 + -2x = 17 + 0 -11 + -2x = 17 Add '11' to each side of the equation. -11 + 11 + -2x = 17 + 11 Combine like terms: -11 + 11 = 0 0 + -2x = 17 + 11 -2x = 17 + 11 Combine like terms: 17 + 11 = 28 -2x = 28 Divide each side by '-2'. x = -14 Simplifying x = -14
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