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Simplifying 52x + 13 = 3(x + -12) Reorder the terms: 13 + 52x = 3(x + -12) Reorder the terms: 13 + 52x = 3(-12 + x) 13 + 52x = (-12 * 3 + x * 3) 13 + 52x = (-36 + 3x) Solving 13 + 52x = -36 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 13 + 52x + -3x = -36 + 3x + -3x Combine like terms: 52x + -3x = 49x 13 + 49x = -36 + 3x + -3x Combine like terms: 3x + -3x = 0 13 + 49x = -36 + 0 13 + 49x = -36 Add '-13' to each side of the equation. 13 + -13 + 49x = -36 + -13 Combine like terms: 13 + -13 = 0 0 + 49x = -36 + -13 49x = -36 + -13 Combine like terms: -36 + -13 = -49 49x = -49 Divide each side by '49'. x = -1 Simplifying x = -1
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